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Finding the Fourth Proportional to 736.15, 1,098.47 and 658.47

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Solution

The fourth proportional to 736.15, 1,098.47 and 658.47 is: 982.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.15 : 1,098.47 = 658.47 : x
  2. Step 2: Convert to fraction form
    736.15/1,098.47 = 658.47/x
  3. Step 3: Cross multiply
    736.15x = 1,098.47 × 658.47
  4. Step 4: Simplify right side
    736.15x = 723,309.54
  5. Step 5: Solve for x
    x = 723,309.54/736.15
  6. Step 6: Final answer
    x = 982.56

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Why These Related Problems?

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