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Finding the Fourth Proportional to 1,042.69, 1,439.23 and 600.88

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Solution

The fourth proportional to 1,042.69, 1,439.23 and 600.88 is: 829.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,042.69 : 1,439.23 = 600.88 : x
  2. Step 2: Convert to fraction form
    1,042.69/1,439.23 = 600.88/x
  3. Step 3: Cross multiply
    1,042.69x = 1,439.23 × 600.88
  4. Step 4: Simplify right side
    1,042.69x = 864,801.52
  5. Step 5: Solve for x
    x = 864,801.52/1,042.69
  6. Step 6: Final answer
    x = 829.40

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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.