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Finding the Fourth Proportional to 711.92, 981.56 and 462.88

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Solution

The fourth proportional to 711.92, 981.56 and 462.88 is: 638.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.92 : 981.56 = 462.88 : x
  2. Step 2: Convert to fraction form
    711.92/981.56 = 462.88/x
  3. Step 3: Cross multiply
    711.92x = 981.56 × 462.88
  4. Step 4: Simplify right side
    711.92x = 454,344.49
  5. Step 5: Solve for x
    x = 454,344.49/711.92
  6. Step 6: Final answer
    x = 638.20

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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.