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Finding the Fourth Proportional to 1,282.46, 1,923.81 and 551.87

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Solution

The fourth proportional to 1,282.46, 1,923.81 and 551.87 is: 827.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.46 : 1,923.81 = 551.87 : x
  2. Step 2: Convert to fraction form
    1,282.46/1,923.81 = 551.87/x
  3. Step 3: Cross multiply
    1,282.46x = 1,923.81 × 551.87
  4. Step 4: Simplify right side
    1,282.46x = 1,061,693.02
  5. Step 5: Solve for x
    x = 1,061,693.02/1,282.46
  6. Step 6: Final answer
    x = 827.86

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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.