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Finding the Fourth Proportional to 752.46, 1,126.86 and 460.14

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Solution

The fourth proportional to 752.46, 1,126.86 and 460.14 is: 689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.46 : 1,126.86 = 460.14 : x
  2. Step 2: Convert to fraction form
    752.46/1,126.86 = 460.14/x
  3. Step 3: Cross multiply
    752.46x = 1,126.86 × 460.14
  4. Step 4: Simplify right side
    752.46x = 518,513.36
  5. Step 5: Solve for x
    x = 518,513.36/752.46
  6. Step 6: Final answer
    x = 689.09

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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.