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Finding the Fourth Proportional to 815.82, 1,223.82 and 268.05

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Solution

The fourth proportional to 815.82, 1,223.82 and 268.05 is: 402.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.82 : 1,223.82 = 268.05 : x
  2. Step 2: Convert to fraction form
    815.82/1,223.82 = 268.05/x
  3. Step 3: Cross multiply
    815.82x = 1,223.82 × 268.05
  4. Step 4: Simplify right side
    815.82x = 328,044.95
  5. Step 5: Solve for x
    x = 328,044.95/815.82
  6. Step 6: Final answer
    x = 402.10

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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.