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Finding the Fourth Proportional to 1,631.29, 2,444.86 and 763.69

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Solution

The fourth proportional to 1,631.29, 2,444.86 and 763.69 is: 1,144.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,631.29 : 2,444.86 = 763.69 : x
  2. Step 2: Convert to fraction form
    1,631.29/2,444.86 = 763.69/x
  3. Step 3: Cross multiply
    1,631.29x = 2,444.86 × 763.69
  4. Step 4: Simplify right side
    1,631.29x = 1,867,109.98
  5. Step 5: Solve for x
    x = 1,867,109.98/1,631.29
  6. Step 6: Final answer
    x = 1,144.56

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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.