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Finding the Fourth Proportional to 752.62, 1,129.01 and 259.06

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Solution

The fourth proportional to 752.62, 1,129.01 and 259.06 is: 388.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.62 : 1,129.01 = 259.06 : x
  2. Step 2: Convert to fraction form
    752.62/1,129.01 = 259.06/x
  3. Step 3: Cross multiply
    752.62x = 1,129.01 × 259.06
  4. Step 4: Simplify right side
    752.62x = 292,480.04
  5. Step 5: Solve for x
    x = 292,480.04/752.62
  6. Step 6: Final answer
    x = 388.62

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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.