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Finding the Fourth Proportional to 752.76, 1,126.13 and 651.14

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Solution

The fourth proportional to 752.76, 1,126.13 and 651.14 is: 974.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.76 : 1,126.13 = 651.14 : x
  2. Step 2: Convert to fraction form
    752.76/1,126.13 = 651.14/x
  3. Step 3: Cross multiply
    752.76x = 1,126.13 × 651.14
  4. Step 4: Simplify right side
    752.76x = 733,259.40
  5. Step 5: Solve for x
    x = 733,259.40/752.76
  6. Step 6: Final answer
    x = 974.09

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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.