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Finding the Fourth Proportional to 671.84, 1,007.04 and 282.06

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Solution

The fourth proportional to 671.84, 1,007.04 and 282.06 is: 422.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.84 : 1,007.04 = 282.06 : x
  2. Step 2: Convert to fraction form
    671.84/1,007.04 = 282.06/x
  3. Step 3: Cross multiply
    671.84x = 1,007.04 × 282.06
  4. Step 4: Simplify right side
    671.84x = 284,040.87
  5. Step 5: Solve for x
    x = 284,040.87/671.84
  6. Step 6: Final answer
    x = 422.78

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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.