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Finding the Fourth Proportional to 1,167.12, 1,751.96 and 734.52

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Solution

The fourth proportional to 1,167.12, 1,751.96 and 734.52 is: 1,102.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,167.12 : 1,751.96 = 734.52 : x
  2. Step 2: Convert to fraction form
    1,167.12/1,751.96 = 734.52/x
  3. Step 3: Cross multiply
    1,167.12x = 1,751.96 × 734.52
  4. Step 4: Simplify right side
    1,167.12x = 1,286,849.66
  5. Step 5: Solve for x
    x = 1,286,849.66/1,167.12
  6. Step 6: Final answer
    x = 1,102.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.