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Finding the Fourth Proportional to 1,102.74, 1,652.49 and 615.12

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Solution

The fourth proportional to 1,102.74, 1,652.49 and 615.12 is: 921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.74 : 1,652.49 = 615.12 : x
  2. Step 2: Convert to fraction form
    1,102.74/1,652.49 = 615.12/x
  3. Step 3: Cross multiply
    1,102.74x = 1,652.49 × 615.12
  4. Step 4: Simplify right side
    1,102.74x = 1,016,479.65
  5. Step 5: Solve for x
    x = 1,016,479.65/1,102.74
  6. Step 6: Final answer
    x = 921.78

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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.