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Finding the Fourth Proportional to 738.25, 1,107.17 and 372.87

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Solution

The fourth proportional to 738.25, 1,107.17 and 372.87 is: 559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    738.25 : 1,107.17 = 372.87 : x
  2. Step 2: Convert to fraction form
    738.25/1,107.17 = 372.87/x
  3. Step 3: Cross multiply
    738.25x = 1,107.17 × 372.87
  4. Step 4: Simplify right side
    738.25x = 412,830.01
  5. Step 5: Solve for x
    x = 412,830.01/738.25
  6. Step 6: Final answer
    x = 559.20

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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.