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Finding the Fourth Proportional to 816.66, 1,225.14 and 269.23

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Solution

The fourth proportional to 816.66, 1,225.14 and 269.23 is: 403.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.66 : 1,225.14 = 269.23 : x
  2. Step 2: Convert to fraction form
    816.66/1,225.14 = 269.23/x
  3. Step 3: Cross multiply
    816.66x = 1,225.14 × 269.23
  4. Step 4: Simplify right side
    816.66x = 329,842.05
  5. Step 5: Solve for x
    x = 329,842.05/816.66
  6. Step 6: Final answer
    x = 403.89

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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.