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Finding the Fourth Proportional to 752.56, 1,127.76 and 319.12

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Solution

The fourth proportional to 752.56, 1,127.76 and 319.12 is: 478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.56 : 1,127.76 = 319.12 : x
  2. Step 2: Convert to fraction form
    752.56/1,127.76 = 319.12/x
  3. Step 3: Cross multiply
    752.56x = 1,127.76 × 319.12
  4. Step 4: Simplify right side
    752.56x = 359,890.77
  5. Step 5: Solve for x
    x = 359,890.77/752.56
  6. Step 6: Final answer
    x = 478.22

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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.