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Finding the Fourth Proportional to 737.84, 1,018.26 and 406.30

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Solution

The fourth proportional to 737.84, 1,018.26 and 406.30 is: 560.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.84 : 1,018.26 = 406.30 : x
  2. Step 2: Convert to fraction form
    737.84/1,018.26 = 406.30/x
  3. Step 3: Cross multiply
    737.84x = 1,018.26 × 406.30
  4. Step 4: Simplify right side
    737.84x = 413,711.92
  5. Step 5: Solve for x
    x = 413,711.92/737.84
  6. Step 6: Final answer
    x = 560.71

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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.