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Finding the Fourth Proportional to 1,246.65, 1,871.12 and 630.78

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Solution

The fourth proportional to 1,246.65, 1,871.12 and 630.78 is: 946.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,246.65 : 1,871.12 = 630.78 : x
  2. Step 2: Convert to fraction form
    1,246.65/1,871.12 = 630.78/x
  3. Step 3: Cross multiply
    1,246.65x = 1,871.12 × 630.78
  4. Step 4: Simplify right side
    1,246.65x = 1,180,265.07
  5. Step 5: Solve for x
    x = 1,180,265.07/1,246.65
  6. Step 6: Final answer
    x = 946.75

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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.