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Finding the Fourth Proportional to 739.30, 1,109.15 and 658.70

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Solution

The fourth proportional to 739.30, 1,109.15 and 658.70 is: 988.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    739.30 : 1,109.15 = 658.70 : x
  2. Step 2: Convert to fraction form
    739.30/1,109.15 = 658.70/x
  3. Step 3: Cross multiply
    739.30x = 1,109.15 × 658.70
  4. Step 4: Simplify right side
    739.30x = 730,597.11
  5. Step 5: Solve for x
    x = 730,597.11/739.30
  6. Step 6: Final answer
    x = 988.23

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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.