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Finding the Fourth Proportional to 822.83, 1,233.16 and 686.15

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Solution

The fourth proportional to 822.83, 1,233.16 and 686.15 is: 1,028.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.83 : 1,233.16 = 686.15 : x
  2. Step 2: Convert to fraction form
    822.83/1,233.16 = 686.15/x
  3. Step 3: Cross multiply
    822.83x = 1,233.16 × 686.15
  4. Step 4: Simplify right side
    822.83x = 846,124.85
  5. Step 5: Solve for x
    x = 846,124.85/822.83
  6. Step 6: Final answer
    x = 1,028.31

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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.