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Finding the Fourth Proportional to 822.90, 1,234.20 and 514.20

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Solution

The fourth proportional to 822.90, 1,234.20 and 514.20 is: 771.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.90 : 1,234.20 = 514.20 : x
  2. Step 2: Convert to fraction form
    822.90/1,234.20 = 514.20/x
  3. Step 3: Cross multiply
    822.90x = 1,234.20 × 514.20
  4. Step 4: Simplify right side
    822.90x = 634,625.64
  5. Step 5: Solve for x
    x = 634,625.64/822.90
  6. Step 6: Final answer
    x = 771.21

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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.