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Finding the Fourth Proportional to 1,042.52, 1,439.03 and 600.59

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Solution

The fourth proportional to 1,042.52, 1,439.03 and 600.59 is: 829.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.52 : 1,439.03 = 600.59 : x
  2. Step 2: Convert to fraction form
    1,042.52/1,439.03 = 600.59/x
  3. Step 3: Cross multiply
    1,042.52x = 1,439.03 × 600.59
  4. Step 4: Simplify right side
    1,042.52x = 864,272.13
  5. Step 5: Solve for x
    x = 864,272.13/1,042.52
  6. Step 6: Final answer
    x = 829.03

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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.