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Finding the Fourth Proportional to 1,283.68, 1,767.19 and 1,224.90

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Solution

The fourth proportional to 1,283.68, 1,767.19 and 1,224.90 is: 1,686.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,283.68 : 1,767.19 = 1,224.90 : x
  2. Step 2: Convert to fraction form
    1,283.68/1,767.19 = 1,224.90/x
  3. Step 3: Cross multiply
    1,283.68x = 1,767.19 × 1,224.90
  4. Step 4: Simplify right side
    1,283.68x = 2,164,633.58
  5. Step 5: Solve for x
    x = 2,164,633.58/1,283.68
  6. Step 6: Final answer
    x = 1,686.28

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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.