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Finding the Fourth Proportional to 827.04, 1,234.62 and 772.44

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Solution

The fourth proportional to 827.04, 1,234.62 and 772.44 is: 1,153.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.04 : 1,234.62 = 772.44 : x
  2. Step 2: Convert to fraction form
    827.04/1,234.62 = 772.44/x
  3. Step 3: Cross multiply
    827.04x = 1,234.62 × 772.44
  4. Step 4: Simplify right side
    827.04x = 953,669.87
  5. Step 5: Solve for x
    x = 953,669.87/827.04
  6. Step 6: Final answer
    x = 1,153.11

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.