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Finding the Fourth Proportional to 752.96, 1,129.47 and 342.09

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Solution

The fourth proportional to 752.96, 1,129.47 and 342.09 is: 513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.96 : 1,129.47 = 342.09 : x
  2. Step 2: Convert to fraction form
    752.96/1,129.47 = 342.09/x
  3. Step 3: Cross multiply
    752.96x = 1,129.47 × 342.09
  4. Step 4: Simplify right side
    752.96x = 386,374.74
  5. Step 5: Solve for x
    x = 386,374.74/752.96
  6. Step 6: Final answer
    x = 513.14

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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.