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Finding the Fourth Proportional to 728.56, 1,087.79 and 658.90

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Solution

The fourth proportional to 728.56, 1,087.79 and 658.90 is: 983.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    728.56 : 1,087.79 = 658.90 : x
  2. Step 2: Convert to fraction form
    728.56/1,087.79 = 658.90/x
  3. Step 3: Cross multiply
    728.56x = 1,087.79 × 658.90
  4. Step 4: Simplify right side
    728.56x = 716,744.83
  5. Step 5: Solve for x
    x = 716,744.83/728.56
  6. Step 6: Final answer
    x = 983.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.