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Finding the Fourth Proportional to 752.77, 1,129.11 and 313.85

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Solution

The fourth proportional to 752.77, 1,129.11 and 313.85 is: 470.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.77 : 1,129.11 = 313.85 : x
  2. Step 2: Convert to fraction form
    752.77/1,129.11 = 313.85/x
  3. Step 3: Cross multiply
    752.77x = 1,129.11 × 313.85
  4. Step 4: Simplify right side
    752.77x = 354,372.29
  5. Step 5: Solve for x
    x = 354,372.29/752.77
  6. Step 6: Final answer
    x = 470.76

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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.