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Finding the Fourth Proportional to 823.95, 1,234.71 and 549.09

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Solution

The fourth proportional to 823.95, 1,234.71 and 549.09 is: 822.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.95 : 1,234.71 = 549.09 : x
  2. Step 2: Convert to fraction form
    823.95/1,234.71 = 549.09/x
  3. Step 3: Cross multiply
    823.95x = 1,234.71 × 549.09
  4. Step 4: Simplify right side
    823.95x = 677,966.91
  5. Step 5: Solve for x
    x = 677,966.91/823.95
  6. Step 6: Final answer
    x = 822.83

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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.