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Finding the Fourth Proportional to 864.38, 1,193.06 and 515

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Solution

The fourth proportional to 864.38, 1,193.06 and 515 is: 710.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    864.38 : 1,193.06 = 515 : x
  2. Step 2: Convert to fraction form
    864.38/1,193.06 = 515/x
  3. Step 3: Cross multiply
    864.38x = 1,193.06 × 515
  4. Step 4: Simplify right side
    864.38x = 614,425.90
  5. Step 5: Solve for x
    x = 614,425.90/864.38
  6. Step 6: Final answer
    x = 710.83

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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.