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Finding the Fourth Proportional to 1,080.26, 1,490.76 and 614.60

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Solution

The fourth proportional to 1,080.26, 1,490.76 and 614.60 is: 848.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,080.26 : 1,490.76 = 614.60 : x
  2. Step 2: Convert to fraction form
    1,080.26/1,490.76 = 614.60/x
  3. Step 3: Cross multiply
    1,080.26x = 1,490.76 × 614.60
  4. Step 4: Simplify right side
    1,080.26x = 916,221.10
  5. Step 5: Solve for x
    x = 916,221.10/1,080.26
  6. Step 6: Final answer
    x = 848.15

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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.