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Finding the Fourth Proportional to 817.73, 1,225.67 and 407.15

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Solution

The fourth proportional to 817.73, 1,225.67 and 407.15 is: 610.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.73 : 1,225.67 = 407.15 : x
  2. Step 2: Convert to fraction form
    817.73/1,225.67 = 407.15/x
  3. Step 3: Cross multiply
    817.73x = 1,225.67 × 407.15
  4. Step 4: Simplify right side
    817.73x = 499,023.38
  5. Step 5: Solve for x
    x = 499,023.38/817.73
  6. Step 6: Final answer
    x = 610.26

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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.