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Finding the Fourth Proportional to 822.78, 1,227.47 and 699.66

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Solution

The fourth proportional to 822.78, 1,227.47 and 699.66 is: 1,043.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.78 : 1,227.47 = 699.66 : x
  2. Step 2: Convert to fraction form
    822.78/1,227.47 = 699.66/x
  3. Step 3: Cross multiply
    822.78x = 1,227.47 × 699.66
  4. Step 4: Simplify right side
    822.78x = 858,808.16
  5. Step 5: Solve for x
    x = 858,808.16/822.78
  6. Step 6: Final answer
    x = 1,043.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.