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Finding the Fourth Proportional to 591.80, 814.72 and 514.18

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Solution

The fourth proportional to 591.80, 814.72 and 514.18 is: 707.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.80 : 814.72 = 514.18 : x
  2. Step 2: Convert to fraction form
    591.80/814.72 = 514.18/x
  3. Step 3: Cross multiply
    591.80x = 814.72 × 514.18
  4. Step 4: Simplify right side
    591.80x = 418,912.73
  5. Step 5: Solve for x
    x = 418,912.73/591.80
  6. Step 6: Final answer
    x = 707.86

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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.