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Finding the Fourth Proportional to 1,224.31, 1,836.20 and 358.42

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Solution

The fourth proportional to 1,224.31, 1,836.20 and 358.42 is: 537.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.31 : 1,836.20 = 358.42 : x
  2. Step 2: Convert to fraction form
    1,224.31/1,836.20 = 358.42/x
  3. Step 3: Cross multiply
    1,224.31x = 1,836.20 × 358.42
  4. Step 4: Simplify right side
    1,224.31x = 658,129.01
  5. Step 5: Solve for x
    x = 658,129.01/1,224.31
  6. Step 6: Final answer
    x = 537.55

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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.