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Finding the Fourth Proportional to 816.87, 1,225.23 and 269.10

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Solution

The fourth proportional to 816.87, 1,225.23 and 269.10 is: 403.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.87 : 1,225.23 = 269.10 : x
  2. Step 2: Convert to fraction form
    816.87/1,225.23 = 269.10/x
  3. Step 3: Cross multiply
    816.87x = 1,225.23 × 269.10
  4. Step 4: Simplify right side
    816.87x = 329,714.49
  5. Step 5: Solve for x
    x = 329,714.49/816.87
  6. Step 6: Final answer
    x = 403.63

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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.