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Finding the Fourth Proportional to 1,244.62, 1,866.48 and 411.53

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Solution

The fourth proportional to 1,244.62, 1,866.48 and 411.53 is: 617.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,244.62 : 1,866.48 = 411.53 : x
  2. Step 2: Convert to fraction form
    1,244.62/1,866.48 = 411.53/x
  3. Step 3: Cross multiply
    1,244.62x = 1,866.48 × 411.53
  4. Step 4: Simplify right side
    1,244.62x = 768,109.78
  5. Step 5: Solve for x
    x = 768,109.78/1,244.62
  6. Step 6: Final answer
    x = 617.14

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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.