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Finding the Fourth Proportional to 1,267.26, 1,747.98 and 742.92

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Solution

The fourth proportional to 1,267.26, 1,747.98 and 742.92 is: 1,024.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,267.26 : 1,747.98 = 742.92 : x
  2. Step 2: Convert to fraction form
    1,267.26/1,747.98 = 742.92/x
  3. Step 3: Cross multiply
    1,267.26x = 1,747.98 × 742.92
  4. Step 4: Simplify right side
    1,267.26x = 1,298,609.30
  5. Step 5: Solve for x
    x = 1,298,609.30/1,267.26
  6. Step 6: Final answer
    x = 1,024.74

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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.