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Finding the Fourth Proportional to 815.76, 1,223.82 and 268.11

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Solution

The fourth proportional to 815.76, 1,223.82 and 268.11 is: 402.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.76 : 1,223.82 = 268.11 : x
  2. Step 2: Convert to fraction form
    815.76/1,223.82 = 268.11/x
  3. Step 3: Cross multiply
    815.76x = 1,223.82 × 268.11
  4. Step 4: Simplify right side
    815.76x = 328,118.38
  5. Step 5: Solve for x
    x = 328,118.38/815.76
  6. Step 6: Final answer
    x = 402.22

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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.