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Finding the Fourth Proportional to 817, 1,224.69 and 451.96

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Solution

The fourth proportional to 817, 1,224.69 and 451.96 is: 677.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    817 : 1,224.69 = 451.96 : x
  2. Step 2: Convert to fraction form
    817/1,224.69 = 451.96/x
  3. Step 3: Cross multiply
    817x = 1,224.69 × 451.96
  4. Step 4: Simplify right side
    817x = 553,510.89
  5. Step 5: Solve for x
    x = 553,510.89/817
  6. Step 6: Final answer
    x = 677.49

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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.