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Finding the Fourth Proportional to 1,168.14, 1,610.91 and 748.02

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Solution

The fourth proportional to 1,168.14, 1,610.91 and 748.02 is: 1,031.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.14 : 1,610.91 = 748.02 : x
  2. Step 2: Convert to fraction form
    1,168.14/1,610.91 = 748.02/x
  3. Step 3: Cross multiply
    1,168.14x = 1,610.91 × 748.02
  4. Step 4: Simplify right side
    1,168.14x = 1,204,992.90
  5. Step 5: Solve for x
    x = 1,204,992.90/1,168.14
  6. Step 6: Final answer
    x = 1,031.55

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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.