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Finding the Fourth Proportional to 1,223.88, 1,836.09 and 358.14

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Solution

The fourth proportional to 1,223.88, 1,836.09 and 358.14 is: 537.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.88 : 1,836.09 = 358.14 : x
  2. Step 2: Convert to fraction form
    1,223.88/1,836.09 = 358.14/x
  3. Step 3: Cross multiply
    1,223.88x = 1,836.09 × 358.14
  4. Step 4: Simplify right side
    1,223.88x = 657,577.27
  5. Step 5: Solve for x
    x = 657,577.27/1,223.88
  6. Step 6: Final answer
    x = 537.29

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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.