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Finding the Fourth Proportional to 822.33, 1,135.56 and 764.92

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Solution

The fourth proportional to 822.33, 1,135.56 and 764.92 is: 1,056.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.33 : 1,135.56 = 764.92 : x
  2. Step 2: Convert to fraction form
    822.33/1,135.56 = 764.92/x
  3. Step 3: Cross multiply
    822.33x = 1,135.56 × 764.92
  4. Step 4: Simplify right side
    822.33x = 868,612.56
  5. Step 5: Solve for x
    x = 868,612.56/822.33
  6. Step 6: Final answer
    x = 1,056.28

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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.