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Finding the Fourth Proportional to 1,272.99, 1,908.86 and 451.14

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Solution

The fourth proportional to 1,272.99, 1,908.86 and 451.14 is: 676.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,272.99 : 1,908.86 = 451.14 : x
  2. Step 2: Convert to fraction form
    1,272.99/1,908.86 = 451.14/x
  3. Step 3: Cross multiply
    1,272.99x = 1,908.86 × 451.14
  4. Step 4: Simplify right side
    1,272.99x = 861,160.84
  5. Step 5: Solve for x
    x = 861,160.84/1,272.99
  6. Step 6: Final answer
    x = 676.49

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.