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Finding the Fourth Proportional to 817.22, 1,225.83 and 451.91

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Solution

The fourth proportional to 817.22, 1,225.83 and 451.91 is: 677.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.22 : 1,225.83 = 451.91 : x
  2. Step 2: Convert to fraction form
    817.22/1,225.83 = 451.91/x
  3. Step 3: Cross multiply
    817.22x = 1,225.83 × 451.91
  4. Step 4: Simplify right side
    817.22x = 553,964.84
  5. Step 5: Solve for x
    x = 553,964.84/817.22
  6. Step 6: Final answer
    x = 677.87

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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.