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Finding the Fourth Proportional to 816.74, 1,224.66 and 268.86

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Solution

The fourth proportional to 816.74, 1,224.66 and 268.86 is: 403.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.74 : 1,224.66 = 268.86 : x
  2. Step 2: Convert to fraction form
    816.74/1,224.66 = 268.86/x
  3. Step 3: Cross multiply
    816.74x = 1,224.66 × 268.86
  4. Step 4: Simplify right side
    816.74x = 329,262.09
  5. Step 5: Solve for x
    x = 329,262.09/816.74
  6. Step 6: Final answer
    x = 403.14

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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.