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Finding the Fourth Proportional to 822.72, 1,234.55 and 457.47

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Solution

The fourth proportional to 822.72, 1,234.55 and 457.47 is: 686.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.72 : 1,234.55 = 457.47 : x
  2. Step 2: Convert to fraction form
    822.72/1,234.55 = 457.47/x
  3. Step 3: Cross multiply
    822.72x = 1,234.55 × 457.47
  4. Step 4: Simplify right side
    822.72x = 564,767.30
  5. Step 5: Solve for x
    x = 564,767.30/822.72
  6. Step 6: Final answer
    x = 686.46

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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.