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Finding the Fourth Proportional to 822.68, 1,135.31 and 491.13

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Solution

The fourth proportional to 822.68, 1,135.31 and 491.13 is: 677.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    822.68 : 1,135.31 = 491.13 : x
  2. Step 2: Convert to fraction form
    822.68/1,135.31 = 491.13/x
  3. Step 3: Cross multiply
    822.68x = 1,135.31 × 491.13
  4. Step 4: Simplify right side
    822.68x = 557,582.34
  5. Step 5: Solve for x
    x = 557,582.34/822.68
  6. Step 6: Final answer
    x = 677.77

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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.