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Finding the Fourth Proportional to 822, 1,134.24 and 467.88

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Solution

The fourth proportional to 822, 1,134.24 and 467.88 is: 645.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    822 : 1,134.24 = 467.88 : x
  2. Step 2: Convert to fraction form
    822/1,134.24 = 467.88/x
  3. Step 3: Cross multiply
    822x = 1,134.24 × 467.88
  4. Step 4: Simplify right side
    822x = 530,688.21
  5. Step 5: Solve for x
    x = 530,688.21/822
  6. Step 6: Final answer
    x = 645.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.