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Finding the Fourth Proportional to 754.74, 1,131.39 and 412.50

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Solution

The fourth proportional to 754.74, 1,131.39 and 412.50 is: 618.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.74 : 1,131.39 = 412.50 : x
  2. Step 2: Convert to fraction form
    754.74/1,131.39 = 412.50/x
  3. Step 3: Cross multiply
    754.74x = 1,131.39 × 412.50
  4. Step 4: Simplify right side
    754.74x = 466,698.38
  5. Step 5: Solve for x
    x = 466,698.38/754.74
  6. Step 6: Final answer
    x = 618.36

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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.