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Finding the Fourth Proportional to 1,167.97, 1,611.14 and 747.48

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Solution

The fourth proportional to 1,167.97, 1,611.14 and 747.48 is: 1,031.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.97 : 1,611.14 = 747.48 : x
  2. Step 2: Convert to fraction form
    1,167.97/1,611.14 = 747.48/x
  3. Step 3: Cross multiply
    1,167.97x = 1,611.14 × 747.48
  4. Step 4: Simplify right side
    1,167.97x = 1,204,291.19
  5. Step 5: Solve for x
    x = 1,204,291.19/1,167.97
  6. Step 6: Final answer
    x = 1,031.10

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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.