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Finding the Fourth Proportional to 822.86, 1,234.54 and 360.42

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Solution

The fourth proportional to 822.86, 1,234.54 and 360.42 is: 540.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.86 : 1,234.54 = 360.42 : x
  2. Step 2: Convert to fraction form
    822.86/1,234.54 = 360.42/x
  3. Step 3: Cross multiply
    822.86x = 1,234.54 × 360.42
  4. Step 4: Simplify right side
    822.86x = 444,952.91
  5. Step 5: Solve for x
    x = 444,952.91/822.86
  6. Step 6: Final answer
    x = 540.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.