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Finding the Fourth Proportional to 752.70, 1,038.41 and 531.57

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Solution

The fourth proportional to 752.70, 1,038.41 and 531.57 is: 733.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.70 : 1,038.41 = 531.57 : x
  2. Step 2: Convert to fraction form
    752.70/1,038.41 = 531.57/x
  3. Step 3: Cross multiply
    752.70x = 1,038.41 × 531.57
  4. Step 4: Simplify right side
    752.70x = 551,987.60
  5. Step 5: Solve for x
    x = 551,987.60/752.70
  6. Step 6: Final answer
    x = 733.34

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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.