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Finding the Fourth Proportional to 658.59, 988.17 and 537.09

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Solution

The fourth proportional to 658.59, 988.17 and 537.09 is: 805.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.59 : 988.17 = 537.09 : x
  2. Step 2: Convert to fraction form
    658.59/988.17 = 537.09/x
  3. Step 3: Cross multiply
    658.59x = 988.17 × 537.09
  4. Step 4: Simplify right side
    658.59x = 530,736.23
  5. Step 5: Solve for x
    x = 530,736.23/658.59
  6. Step 6: Final answer
    x = 805.87

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