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Finding the Fourth Proportional to 781.52, 1,172.92 and 752.08

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Solution

The fourth proportional to 781.52, 1,172.92 and 752.08 is: 1,128.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.52 : 1,172.92 = 752.08 : x
  2. Step 2: Convert to fraction form
    781.52/1,172.92 = 752.08/x
  3. Step 3: Cross multiply
    781.52x = 1,172.92 × 752.08
  4. Step 4: Simplify right side
    781.52x = 882,129.67
  5. Step 5: Solve for x
    x = 882,129.67/781.52
  6. Step 6: Final answer
    x = 1,128.74

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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.