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Finding the Fourth Proportional to 822.36, 1,226.16 and 807.78

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Solution

The fourth proportional to 822.36, 1,226.16 and 807.78 is: 1,204.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.36 : 1,226.16 = 807.78 : x
  2. Step 2: Convert to fraction form
    822.36/1,226.16 = 807.78/x
  3. Step 3: Cross multiply
    822.36x = 1,226.16 × 807.78
  4. Step 4: Simplify right side
    822.36x = 990,467.52
  5. Step 5: Solve for x
    x = 990,467.52/822.36
  6. Step 6: Final answer
    x = 1,204.42

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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.