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Finding the Fourth Proportional to 711.38, 981.06 and 462.47

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Solution

The fourth proportional to 711.38, 981.06 and 462.47 is: 637.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.38 : 981.06 = 462.47 : x
  2. Step 2: Convert to fraction form
    711.38/981.06 = 462.47/x
  3. Step 3: Cross multiply
    711.38x = 981.06 × 462.47
  4. Step 4: Simplify right side
    711.38x = 453,705.91
  5. Step 5: Solve for x
    x = 453,705.91/711.38
  6. Step 6: Final answer
    x = 637.79

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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.