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Finding the Fourth Proportional to 1,282.06, 1,922.82 and 551.44

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Solution

The fourth proportional to 1,282.06, 1,922.82 and 551.44 is: 827.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.06 : 1,922.82 = 551.44 : x
  2. Step 2: Convert to fraction form
    1,282.06/1,922.82 = 551.44/x
  3. Step 3: Cross multiply
    1,282.06x = 1,922.82 × 551.44
  4. Step 4: Simplify right side
    1,282.06x = 1,060,319.86
  5. Step 5: Solve for x
    x = 1,060,319.86/1,282.06
  6. Step 6: Final answer
    x = 827.04

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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.