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Finding the Fourth Proportional to 822.80, 1,234.04 and 770.26

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Solution

The fourth proportional to 822.80, 1,234.04 and 770.26 is: 1,155.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.80 : 1,234.04 = 770.26 : x
  2. Step 2: Convert to fraction form
    822.80/1,234.04 = 770.26/x
  3. Step 3: Cross multiply
    822.80x = 1,234.04 × 770.26
  4. Step 4: Simplify right side
    822.80x = 950,531.65
  5. Step 5: Solve for x
    x = 950,531.65/822.80
  6. Step 6: Final answer
    x = 1,155.24

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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.