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Finding the Fourth Proportional to 740.02, 1,109.31 and 658.42

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Solution

The fourth proportional to 740.02, 1,109.31 and 658.42 is: 986.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.02 : 1,109.31 = 658.42 : x
  2. Step 2: Convert to fraction form
    740.02/1,109.31 = 658.42/x
  3. Step 3: Cross multiply
    740.02x = 1,109.31 × 658.42
  4. Step 4: Simplify right side
    740.02x = 730,391.89
  5. Step 5: Solve for x
    x = 730,391.89/740.02
  6. Step 6: Final answer
    x = 986.99

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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.