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Finding the Fourth Proportional to 1,282.28, 1,921.80 and 551.66

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Solution

The fourth proportional to 1,282.28, 1,921.80 and 551.66 is: 826.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.28 : 1,921.80 = 551.66 : x
  2. Step 2: Convert to fraction form
    1,282.28/1,921.80 = 551.66/x
  3. Step 3: Cross multiply
    1,282.28x = 1,921.80 × 551.66
  4. Step 4: Simplify right side
    1,282.28x = 1,060,180.19
  5. Step 5: Solve for x
    x = 1,060,180.19/1,282.28
  6. Step 6: Final answer
    x = 826.79

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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.