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Finding the Fourth Proportional to 752.20, 1,130.73 and 675.52

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Solution

The fourth proportional to 752.20, 1,130.73 and 675.52 is: 1,015.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.20 : 1,130.73 = 675.52 : x
  2. Step 2: Convert to fraction form
    752.20/1,130.73 = 675.52/x
  3. Step 3: Cross multiply
    752.20x = 1,130.73 × 675.52
  4. Step 4: Simplify right side
    752.20x = 763,830.73
  5. Step 5: Solve for x
    x = 763,830.73/752.20
  6. Step 6: Final answer
    x = 1,015.46

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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.