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Finding the Fourth Proportional to 965.49, 1,448.14 and 478.86

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Solution

The fourth proportional to 965.49, 1,448.14 and 478.86 is: 718.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    965.49 : 1,448.14 = 478.86 : x
  2. Step 2: Convert to fraction form
    965.49/1,448.14 = 478.86/x
  3. Step 3: Cross multiply
    965.49x = 1,448.14 × 478.86
  4. Step 4: Simplify right side
    965.49x = 693,456.32
  5. Step 5: Solve for x
    x = 693,456.32/965.49
  6. Step 6: Final answer
    x = 718.24

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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.