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Finding the Fourth Proportional to 821.73, 1,225.67 and 698.61

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Solution

The fourth proportional to 821.73, 1,225.67 and 698.61 is: 1,042.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.73 : 1,225.67 = 698.61 : x
  2. Step 2: Convert to fraction form
    821.73/1,225.67 = 698.61/x
  3. Step 3: Cross multiply
    821.73x = 1,225.67 × 698.61
  4. Step 4: Simplify right side
    821.73x = 856,265.32
  5. Step 5: Solve for x
    x = 856,265.32/821.73
  6. Step 6: Final answer
    x = 1,042.03

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.