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Finding the Fourth Proportional to 658.98, 986.31 and 586.98

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Solution

The fourth proportional to 658.98, 986.31 and 586.98 is: 878.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    658.98 : 986.31 = 586.98 : x
  2. Step 2: Convert to fraction form
    658.98/986.31 = 586.98/x
  3. Step 3: Cross multiply
    658.98x = 986.31 × 586.98
  4. Step 4: Simplify right side
    658.98x = 578,944.24
  5. Step 5: Solve for x
    x = 578,944.24/658.98
  6. Step 6: Final answer
    x = 878.55

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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.