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Finding the Fourth Proportional to 821.82, 1,135.71 and 674.16

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Solution

The fourth proportional to 821.82, 1,135.71 and 674.16 is: 931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.82 : 1,135.71 = 674.16 : x
  2. Step 2: Convert to fraction form
    821.82/1,135.71 = 674.16/x
  3. Step 3: Cross multiply
    821.82x = 1,135.71 × 674.16
  4. Step 4: Simplify right side
    821.82x = 765,650.25
  5. Step 5: Solve for x
    x = 765,650.25/821.82
  6. Step 6: Final answer
    x = 931.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.