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Finding the Fourth Proportional to 822.32, 1,239.18 and 814.96

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Solution

The fourth proportional to 822.32, 1,239.18 and 814.96 is: 1,228.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.32 : 1,239.18 = 814.96 : x
  2. Step 2: Convert to fraction form
    822.32/1,239.18 = 814.96/x
  3. Step 3: Cross multiply
    822.32x = 1,239.18 × 814.96
  4. Step 4: Simplify right side
    822.32x = 1,009,882.13
  5. Step 5: Solve for x
    x = 1,009,882.13/822.32
  6. Step 6: Final answer
    x = 1,228.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.