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Finding the Fourth Proportional to 752.48, 1,128.72 and 463.44

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Solution

The fourth proportional to 752.48, 1,128.72 and 463.44 is: 695.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.48 : 1,128.72 = 463.44 : x
  2. Step 2: Convert to fraction form
    752.48/1,128.72 = 463.44/x
  3. Step 3: Cross multiply
    752.48x = 1,128.72 × 463.44
  4. Step 4: Simplify right side
    752.48x = 523,094.00
  5. Step 5: Solve for x
    x = 523,094.00/752.48
  6. Step 6: Final answer
    x = 695.16

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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.