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Finding the Fourth Proportional to 822.81, 1,135.22 and 491.34

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Solution

The fourth proportional to 822.81, 1,135.22 and 491.34 is: 677.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.81 : 1,135.22 = 491.34 : x
  2. Step 2: Convert to fraction form
    822.81/1,135.22 = 491.34/x
  3. Step 3: Cross multiply
    822.81x = 1,135.22 × 491.34
  4. Step 4: Simplify right side
    822.81x = 557,778.99
  5. Step 5: Solve for x
    x = 557,778.99/822.81
  6. Step 6: Final answer
    x = 677.90

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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.