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Finding the Fourth Proportional to 1,244.97, 1,867.32 and 514.35

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Solution

The fourth proportional to 1,244.97, 1,867.32 and 514.35 is: 771.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.97 : 1,867.32 = 514.35 : x
  2. Step 2: Convert to fraction form
    1,244.97/1,867.32 = 514.35/x
  3. Step 3: Cross multiply
    1,244.97x = 1,867.32 × 514.35
  4. Step 4: Simplify right side
    1,244.97x = 960,456.04
  5. Step 5: Solve for x
    x = 960,456.04/1,244.97
  6. Step 6: Final answer
    x = 771.47

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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.