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Finding the Fourth Proportional to 1,191.75, 1,645.11 and 749.55

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Solution

The fourth proportional to 1,191.75, 1,645.11 and 749.55 is: 1,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.75 : 1,645.11 = 749.55 : x
  2. Step 2: Convert to fraction form
    1,191.75/1,645.11 = 749.55/x
  3. Step 3: Cross multiply
    1,191.75x = 1,645.11 × 749.55
  4. Step 4: Simplify right side
    1,191.75x = 1,233,092.20
  5. Step 5: Solve for x
    x = 1,233,092.20/1,191.75
  6. Step 6: Final answer
    x = 1,034.69

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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.