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Finding the Fourth Proportional to 822.84, 1,234.26 and 456.72

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Solution

The fourth proportional to 822.84, 1,234.26 and 456.72 is: 685.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.84 : 1,234.26 = 456.72 : x
  2. Step 2: Convert to fraction form
    822.84/1,234.26 = 456.72/x
  3. Step 3: Cross multiply
    822.84x = 1,234.26 × 456.72
  4. Step 4: Simplify right side
    822.84x = 563,711.23
  5. Step 5: Solve for x
    x = 563,711.23/822.84
  6. Step 6: Final answer
    x = 685.08

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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.