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Finding the Fourth Proportional to 1,265.80, 1,747.02 and 742.12

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Solution

The fourth proportional to 1,265.80, 1,747.02 and 742.12 is: 1,024.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,265.80 : 1,747.02 = 742.12 : x
  2. Step 2: Convert to fraction form
    1,265.80/1,747.02 = 742.12/x
  3. Step 3: Cross multiply
    1,265.80x = 1,747.02 × 742.12
  4. Step 4: Simplify right side
    1,265.80x = 1,296,498.48
  5. Step 5: Solve for x
    x = 1,296,498.48/1,265.80
  6. Step 6: Final answer
    x = 1,024.25

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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.