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Finding the Fourth Proportional to 752.26, 1,126.06 and 688.46

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Solution

The fourth proportional to 752.26, 1,126.06 and 688.46 is: 1,030.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.26 : 1,126.06 = 688.46 : x
  2. Step 2: Convert to fraction form
    752.26/1,126.06 = 688.46/x
  3. Step 3: Cross multiply
    752.26x = 1,126.06 × 688.46
  4. Step 4: Simplify right side
    752.26x = 775,247.27
  5. Step 5: Solve for x
    x = 775,247.27/752.26
  6. Step 6: Final answer
    x = 1,030.56

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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.