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Finding the Fourth Proportional to 1,080.31, 1,490.87 and 614.56

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Solution

The fourth proportional to 1,080.31, 1,490.87 and 614.56 is: 848.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.31 : 1,490.87 = 614.56 : x
  2. Step 2: Convert to fraction form
    1,080.31/1,490.87 = 614.56/x
  3. Step 3: Cross multiply
    1,080.31x = 1,490.87 × 614.56
  4. Step 4: Simplify right side
    1,080.31x = 916,229.07
  5. Step 5: Solve for x
    x = 916,229.07/1,080.31
  6. Step 6: Final answer
    x = 848.12

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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.