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Finding the Fourth Proportional to 711.92, 981.45 and 475.88

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Solution

The fourth proportional to 711.92, 981.45 and 475.88 is: 656.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.92 : 981.45 = 475.88 : x
  2. Step 2: Convert to fraction form
    711.92/981.45 = 475.88/x
  3. Step 3: Cross multiply
    711.92x = 981.45 × 475.88
  4. Step 4: Simplify right side
    711.92x = 467,047.52
  5. Step 5: Solve for x
    x = 467,047.52/711.92
  6. Step 6: Final answer
    x = 656.04

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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.