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Finding the Fourth Proportional to 658.87, 986.54 and 581.02

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Solution

The fourth proportional to 658.87, 986.54 and 581.02 is: 869.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.87 : 986.54 = 581.02 : x
  2. Step 2: Convert to fraction form
    658.87/986.54 = 581.02/x
  3. Step 3: Cross multiply
    658.87x = 986.54 × 581.02
  4. Step 4: Simplify right side
    658.87x = 573,198.46
  5. Step 5: Solve for x
    x = 573,198.46/658.87
  6. Step 6: Final answer
    x = 869.98

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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.