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Finding the Fourth Proportional to 711.88, 981.76 and 462.96

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Solution

The fourth proportional to 711.88, 981.76 and 462.96 is: 638.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.88 : 981.76 = 462.96 : x
  2. Step 2: Convert to fraction form
    711.88/981.76 = 462.96/x
  3. Step 3: Cross multiply
    711.88x = 981.76 × 462.96
  4. Step 4: Simplify right side
    711.88x = 454,515.61
  5. Step 5: Solve for x
    x = 454,515.61/711.88
  6. Step 6: Final answer
    x = 638.47

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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.