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Finding the Fourth Proportional to 1,223.52, 1,834.24 and 832.42

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Solution

The fourth proportional to 1,223.52, 1,834.24 and 832.42 is: 1,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.52 : 1,834.24 = 832.42 : x
  2. Step 2: Convert to fraction form
    1,223.52/1,834.24 = 832.42/x
  3. Step 3: Cross multiply
    1,223.52x = 1,834.24 × 832.42
  4. Step 4: Simplify right side
    1,223.52x = 1,526,858.06
  5. Step 5: Solve for x
    x = 1,526,858.06/1,223.52
  6. Step 6: Final answer
    x = 1,247.92

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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.