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Finding the Fourth Proportional to 752.56, 1,127.88 and 410.80

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Solution

The fourth proportional to 752.56, 1,127.88 and 410.80 is: 615.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.56 : 1,127.88 = 410.80 : x
  2. Step 2: Convert to fraction form
    752.56/1,127.88 = 410.80/x
  3. Step 3: Cross multiply
    752.56x = 1,127.88 × 410.80
  4. Step 4: Simplify right side
    752.56x = 463,333.10
  5. Step 5: Solve for x
    x = 463,333.10/752.56
  6. Step 6: Final answer
    x = 615.68

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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.