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Finding the Fourth Proportional to 1,223.38, 1,834.90 and 401.56

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Solution

The fourth proportional to 1,223.38, 1,834.90 and 401.56 is: 602.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.38 : 1,834.90 = 401.56 : x
  2. Step 2: Convert to fraction form
    1,223.38/1,834.90 = 401.56/x
  3. Step 3: Cross multiply
    1,223.38x = 1,834.90 × 401.56
  4. Step 4: Simplify right side
    1,223.38x = 736,822.44
  5. Step 5: Solve for x
    x = 736,822.44/1,223.38
  6. Step 6: Final answer
    x = 602.28

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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.