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Finding the Fourth Proportional to 737.69, 1,018.07 and 406.13

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Solution

The fourth proportional to 737.69, 1,018.07 and 406.13 is: 560.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.69 : 1,018.07 = 406.13 : x
  2. Step 2: Convert to fraction form
    737.69/1,018.07 = 406.13/x
  3. Step 3: Cross multiply
    737.69x = 1,018.07 × 406.13
  4. Step 4: Simplify right side
    737.69x = 413,468.77
  5. Step 5: Solve for x
    x = 413,468.77/737.69
  6. Step 6: Final answer
    x = 560.49

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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.