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Finding the Fourth Proportional to 1,159.52, 1,742.00 and 749.48

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Solution

The fourth proportional to 1,159.52, 1,742.00 and 749.48 is: 1,125.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159.52 : 1,742.00 = 749.48 : x
  2. Step 2: Convert to fraction form
    1,159.52/1,742.00 = 749.48/x
  3. Step 3: Cross multiply
    1,159.52x = 1,742.00 × 749.48
  4. Step 4: Simplify right side
    1,159.52x = 1,305,581.70
  5. Step 5: Solve for x
    x = 1,305,581.70/1,159.52
  6. Step 6: Final answer
    x = 1,125.97

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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.