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Finding the Fourth Proportional to 823.65, 1,234.65 and 677.85

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Solution

The fourth proportional to 823.65, 1,234.65 and 677.85 is: 1,016.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.65 : 1,234.65 = 677.85 : x
  2. Step 2: Convert to fraction form
    823.65/1,234.65 = 677.85/x
  3. Step 3: Cross multiply
    823.65x = 1,234.65 × 677.85
  4. Step 4: Simplify right side
    823.65x = 836,907.50
  5. Step 5: Solve for x
    x = 836,907.50/823.65
  6. Step 6: Final answer
    x = 1,016.10

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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.