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Finding the Fourth Proportional to 815.97, 1,223.52 and 268.08

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Solution

The fourth proportional to 815.97, 1,223.52 and 268.08 is: 401.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.97 : 1,223.52 = 268.08 : x
  2. Step 2: Convert to fraction form
    815.97/1,223.52 = 268.08/x
  3. Step 3: Cross multiply
    815.97x = 1,223.52 × 268.08
  4. Step 4: Simplify right side
    815.97x = 328,001.24
  5. Step 5: Solve for x
    x = 328,001.24/815.97
  6. Step 6: Final answer
    x = 401.98

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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.