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Finding the Fourth Proportional to 827.06, 1,239.43 and 387.84

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Solution

The fourth proportional to 827.06, 1,239.43 and 387.84 is: 581.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.06 : 1,239.43 = 387.84 : x
  2. Step 2: Convert to fraction form
    827.06/1,239.43 = 387.84/x
  3. Step 3: Cross multiply
    827.06x = 1,239.43 × 387.84
  4. Step 4: Simplify right side
    827.06x = 480,700.53
  5. Step 5: Solve for x
    x = 480,700.53/827.06
  6. Step 6: Final answer
    x = 581.22

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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.