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Finding the Fourth Proportional to 737.80, 1,018.13 and 406.24

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Solution

The fourth proportional to 737.80, 1,018.13 and 406.24 is: 560.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.80 : 1,018.13 = 406.24 : x
  2. Step 2: Convert to fraction form
    737.80/1,018.13 = 406.24/x
  3. Step 3: Cross multiply
    737.80x = 1,018.13 × 406.24
  4. Step 4: Simplify right side
    737.80x = 413,600.55
  5. Step 5: Solve for x
    x = 413,600.55/737.80
  6. Step 6: Final answer
    x = 560.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.