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Finding the Fourth Proportional to 736.57, 1,105.82 and 494.18

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Solution

The fourth proportional to 736.57, 1,105.82 and 494.18 is: 741.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    736.57 : 1,105.82 = 494.18 : x
  2. Step 2: Convert to fraction form
    736.57/1,105.82 = 494.18/x
  3. Step 3: Cross multiply
    736.57x = 1,105.82 × 494.18
  4. Step 4: Simplify right side
    736.57x = 546,474.13
  5. Step 5: Solve for x
    x = 546,474.13/736.57
  6. Step 6: Final answer
    x = 741.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.