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Finding the Fourth Proportional to 711.34, 981.79 and 462.87

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Solution

The fourth proportional to 711.34, 981.79 and 462.87 is: 638.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.34 : 981.79 = 462.87 : x
  2. Step 2: Convert to fraction form
    711.34/981.79 = 462.87/x
  3. Step 3: Cross multiply
    711.34x = 981.79 × 462.87
  4. Step 4: Simplify right side
    711.34x = 454,438.82
  5. Step 5: Solve for x
    x = 454,438.82/711.34
  6. Step 6: Final answer
    x = 638.85

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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.