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Finding the Fourth Proportional to 822.78, 1,233.36 and 457.38

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Solution

The fourth proportional to 822.78, 1,233.36 and 457.38 is: 685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.78 : 1,233.36 = 457.38 : x
  2. Step 2: Convert to fraction form
    822.78/1,233.36 = 457.38/x
  3. Step 3: Cross multiply
    822.78x = 1,233.36 × 457.38
  4. Step 4: Simplify right side
    822.78x = 564,114.20
  5. Step 5: Solve for x
    x = 564,114.20/822.78
  6. Step 6: Final answer
    x = 685.62

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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.