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Finding the Fourth Proportional to 822.92, 1,234.56 and 245.78

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Solution

The fourth proportional to 822.92, 1,234.56 and 245.78 is: 368.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.92 : 1,234.56 = 245.78 : x
  2. Step 2: Convert to fraction form
    822.92/1,234.56 = 245.78/x
  3. Step 3: Cross multiply
    822.92x = 1,234.56 × 245.78
  4. Step 4: Simplify right side
    822.92x = 303,430.16
  5. Step 5: Solve for x
    x = 303,430.16/822.92
  6. Step 6: Final answer
    x = 368.72

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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.