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Finding the Fourth Proportional to 817.11, 1,225.76 and 354.77

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Solution

The fourth proportional to 817.11, 1,225.76 and 354.77 is: 532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.11 : 1,225.76 = 354.77 : x
  2. Step 2: Convert to fraction form
    817.11/1,225.76 = 354.77/x
  3. Step 3: Cross multiply
    817.11x = 1,225.76 × 354.77
  4. Step 4: Simplify right side
    817.11x = 434,854.97
  5. Step 5: Solve for x
    x = 434,854.97/817.11
  6. Step 6: Final answer
    x = 532.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.