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Finding the Fourth Proportional to 752.78, 1,127.35 and 642.45

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Solution

The fourth proportional to 752.78, 1,127.35 and 642.45 is: 962.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.78 : 1,127.35 = 642.45 : x
  2. Step 2: Convert to fraction form
    752.78/1,127.35 = 642.45/x
  3. Step 3: Cross multiply
    752.78x = 1,127.35 × 642.45
  4. Step 4: Simplify right side
    752.78x = 724,264.70
  5. Step 5: Solve for x
    x = 724,264.70/752.78
  6. Step 6: Final answer
    x = 962.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.