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Finding the Fourth Proportional to 827.04, 1,240.02 and 394.68

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Solution

The fourth proportional to 827.04, 1,240.02 and 394.68 is: 591.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.04 : 1,240.02 = 394.68 : x
  2. Step 2: Convert to fraction form
    827.04/1,240.02 = 394.68/x
  3. Step 3: Cross multiply
    827.04x = 1,240.02 × 394.68
  4. Step 4: Simplify right side
    827.04x = 489,411.09
  5. Step 5: Solve for x
    x = 489,411.09/827.04
  6. Step 6: Final answer
    x = 591.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.