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Finding the Fourth Proportional to 1,247.65, 1,872.62 and 631.78

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Solution

The fourth proportional to 1,247.65, 1,872.62 and 631.78 is: 948.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,247.65 : 1,872.62 = 631.78 : x
  2. Step 2: Convert to fraction form
    1,247.65/1,872.62 = 631.78/x
  3. Step 3: Cross multiply
    1,247.65x = 1,872.62 × 631.78
  4. Step 4: Simplify right side
    1,247.65x = 1,183,083.86
  5. Step 5: Solve for x
    x = 1,183,083.86/1,247.65
  6. Step 6: Final answer
    x = 948.25

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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.