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Finding the Fourth Proportional to 752.57, 1,129.04 and 258.98

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Solution

The fourth proportional to 752.57, 1,129.04 and 258.98 is: 388.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.57 : 1,129.04 = 258.98 : x
  2. Step 2: Convert to fraction form
    752.57/1,129.04 = 258.98/x
  3. Step 3: Cross multiply
    752.57x = 1,129.04 × 258.98
  4. Step 4: Simplify right side
    752.57x = 292,391.84
  5. Step 5: Solve for x
    x = 292,391.84/752.57
  6. Step 6: Final answer
    x = 388.53

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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.