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Finding the Fourth Proportional to 1,223.32, 1,834.43 and 729.96

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Solution

The fourth proportional to 1,223.32, 1,834.43 and 729.96 is: 1,094.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.32 : 1,834.43 = 729.96 : x
  2. Step 2: Convert to fraction form
    1,223.32/1,834.43 = 729.96/x
  3. Step 3: Cross multiply
    1,223.32x = 1,834.43 × 729.96
  4. Step 4: Simplify right side
    1,223.32x = 1,339,049.53
  5. Step 5: Solve for x
    x = 1,339,049.53/1,223.32
  6. Step 6: Final answer
    x = 1,094.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.