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Finding the Fourth Proportional to 1,223.25, 1,830.32 and 729.92

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Solution

The fourth proportional to 1,223.25, 1,830.32 and 729.92 is: 1,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,223.25 : 1,830.32 = 729.92 : x
  2. Step 2: Convert to fraction form
    1,223.25/1,830.32 = 729.92/x
  3. Step 3: Cross multiply
    1,223.25x = 1,830.32 × 729.92
  4. Step 4: Simplify right side
    1,223.25x = 1,335,974.37
  5. Step 5: Solve for x
    x = 1,335,974.37/1,223.25
  6. Step 6: Final answer
    x = 1,092.16

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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.