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Finding the Fourth Proportional to 816.89, 1,225.65 and 269.15

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Solution

The fourth proportional to 816.89, 1,225.65 and 269.15 is: 403.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.89 : 1,225.65 = 269.15 : x
  2. Step 2: Convert to fraction form
    816.89/1,225.65 = 269.15/x
  3. Step 3: Cross multiply
    816.89x = 1,225.65 × 269.15
  4. Step 4: Simplify right side
    816.89x = 329,883.70
  5. Step 5: Solve for x
    x = 329,883.70/816.89
  6. Step 6: Final answer
    x = 403.83

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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.