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Finding the Fourth Proportional to 1,224.47, 1,836.92 and 575.19

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Solution

The fourth proportional to 1,224.47, 1,836.92 and 575.19 is: 862.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.47 : 1,836.92 = 575.19 : x
  2. Step 2: Convert to fraction form
    1,224.47/1,836.92 = 575.19/x
  3. Step 3: Cross multiply
    1,224.47x = 1,836.92 × 575.19
  4. Step 4: Simplify right side
    1,224.47x = 1,056,579.45
  5. Step 5: Solve for x
    x = 1,056,579.45/1,224.47
  6. Step 6: Final answer
    x = 862.89

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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.