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Finding the Fourth Proportional to 862.71, 1,294.07 and 588.12

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Solution

The fourth proportional to 862.71, 1,294.07 and 588.12 is: 882.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.71 : 1,294.07 = 588.12 : x
  2. Step 2: Convert to fraction form
    862.71/1,294.07 = 588.12/x
  3. Step 3: Cross multiply
    862.71x = 1,294.07 × 588.12
  4. Step 4: Simplify right side
    862.71x = 761,060.66
  5. Step 5: Solve for x
    x = 761,060.66/862.71
  6. Step 6: Final answer
    x = 882.18

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.