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Finding the Fourth Proportional to 752.12, 1,035.78 and 749.69

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Solution

The fourth proportional to 752.12, 1,035.78 and 749.69 is: 1,032.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.12 : 1,035.78 = 749.69 : x
  2. Step 2: Convert to fraction form
    752.12/1,035.78 = 749.69/x
  3. Step 3: Cross multiply
    752.12x = 1,035.78 × 749.69
  4. Step 4: Simplify right side
    752.12x = 776,513.91
  5. Step 5: Solve for x
    x = 776,513.91/752.12
  6. Step 6: Final answer
    x = 1,032.43

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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.