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Finding the Fourth Proportional to 822.43, 1,234.10 and 578.47

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Solution

The fourth proportional to 822.43, 1,234.10 and 578.47 is: 868.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.43 : 1,234.10 = 578.47 : x
  2. Step 2: Convert to fraction form
    822.43/1,234.10 = 578.47/x
  3. Step 3: Cross multiply
    822.43x = 1,234.10 × 578.47
  4. Step 4: Simplify right side
    822.43x = 713,889.83
  5. Step 5: Solve for x
    x = 713,889.83/822.43
  6. Step 6: Final answer
    x = 868.03

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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.