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Finding the Fourth Proportional to 905.82, 1,249.94 and 512.76

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Solution

The fourth proportional to 905.82, 1,249.94 and 512.76 is: 707.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.82 : 1,249.94 = 512.76 : x
  2. Step 2: Convert to fraction form
    905.82/1,249.94 = 512.76/x
  3. Step 3: Cross multiply
    905.82x = 1,249.94 × 512.76
  4. Step 4: Simplify right side
    905.82x = 640,919.23
  5. Step 5: Solve for x
    x = 640,919.23/905.82
  6. Step 6: Final answer
    x = 707.56

Related Problems

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.