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Finding the Fourth Proportional to 822.32, 1,234.35 and 457.82

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Solution

The fourth proportional to 822.32, 1,234.35 and 457.82 is: 687.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.32 : 1,234.35 = 457.82 : x
  2. Step 2: Convert to fraction form
    822.32/1,234.35 = 457.82/x
  3. Step 3: Cross multiply
    822.32x = 1,234.35 × 457.82
  4. Step 4: Simplify right side
    822.32x = 565,103.95
  5. Step 5: Solve for x
    x = 565,103.95/822.32
  6. Step 6: Final answer
    x = 687.21

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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.