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Finding the Fourth Proportional to 1,282.17, 1,922.97 and 624.03

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Solution

The fourth proportional to 1,282.17, 1,922.97 and 624.03 is: 935.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.17 : 1,922.97 = 624.03 : x
  2. Step 2: Convert to fraction form
    1,282.17/1,922.97 = 624.03/x
  3. Step 3: Cross multiply
    1,282.17x = 1,922.97 × 624.03
  4. Step 4: Simplify right side
    1,282.17x = 1,199,990.97
  5. Step 5: Solve for x
    x = 1,199,990.97/1,282.17
  6. Step 6: Final answer
    x = 935.91

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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.