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Finding the Fourth Proportional to 1,223.98, 1,836.02 and 358.27

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Solution

The fourth proportional to 1,223.98, 1,836.02 and 358.27 is: 537.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.98 : 1,836.02 = 358.27 : x
  2. Step 2: Convert to fraction form
    1,223.98/1,836.02 = 358.27/x
  3. Step 3: Cross multiply
    1,223.98x = 1,836.02 × 358.27
  4. Step 4: Simplify right side
    1,223.98x = 657,789.09
  5. Step 5: Solve for x
    x = 657,789.09/1,223.98
  6. Step 6: Final answer
    x = 537.42

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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.