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Finding the Fourth Proportional to 823.98, 1,234.91 and 515.07

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Solution

The fourth proportional to 823.98, 1,234.91 and 515.07 is: 771.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.98 : 1,234.91 = 515.07 : x
  2. Step 2: Convert to fraction form
    823.98/1,234.91 = 515.07/x
  3. Step 3: Cross multiply
    823.98x = 1,234.91 × 515.07
  4. Step 4: Simplify right side
    823.98x = 636,066.38
  5. Step 5: Solve for x
    x = 636,066.38/823.98
  6. Step 6: Final answer
    x = 771.94

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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.