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Finding the Fourth Proportional to 1,283.32, 1,772.28 and 1,105.92

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Solution

The fourth proportional to 1,283.32, 1,772.28 and 1,105.92 is: 1,527.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.32 : 1,772.28 = 1,105.92 : x
  2. Step 2: Convert to fraction form
    1,283.32/1,772.28 = 1,105.92/x
  3. Step 3: Cross multiply
    1,283.32x = 1,772.28 × 1,105.92
  4. Step 4: Simplify right side
    1,283.32x = 1,959,999.90
  5. Step 5: Solve for x
    x = 1,959,999.90/1,283.32
  6. Step 6: Final answer
    x = 1,527.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.