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Finding the Fourth Proportional to 815.78, 1,221.78 and 405.20

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Solution

The fourth proportional to 815.78, 1,221.78 and 405.20 is: 606.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    815.78 : 1,221.78 = 405.20 : x
  2. Step 2: Convert to fraction form
    815.78/1,221.78 = 405.20/x
  3. Step 3: Cross multiply
    815.78x = 1,221.78 × 405.20
  4. Step 4: Simplify right side
    815.78x = 495,065.26
  5. Step 5: Solve for x
    x = 495,065.26/815.78
  6. Step 6: Final answer
    x = 606.86

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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.