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Finding the Fourth Proportional to 1,240.12, 1,859.56 and 614.68

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Solution

The fourth proportional to 1,240.12, 1,859.56 and 614.68 is: 921.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.12 : 1,859.56 = 614.68 : x
  2. Step 2: Convert to fraction form
    1,240.12/1,859.56 = 614.68/x
  3. Step 3: Cross multiply
    1,240.12x = 1,859.56 × 614.68
  4. Step 4: Simplify right side
    1,240.12x = 1,143,034.34
  5. Step 5: Solve for x
    x = 1,143,034.34/1,240.12
  6. Step 6: Final answer
    x = 921.71

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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.