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Finding the Fourth Proportional to 821.00, 1,132.97 and 447.97

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Solution

The fourth proportional to 821.00, 1,132.97 and 447.97 is: 618.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.00 : 1,132.97 = 447.97 : x
  2. Step 2: Convert to fraction form
    821.00/1,132.97 = 447.97/x
  3. Step 3: Cross multiply
    821.00x = 1,132.97 × 447.97
  4. Step 4: Simplify right side
    821.00x = 507,537.00
  5. Step 5: Solve for x
    x = 507,537.00/821.00
  6. Step 6: Final answer
    x = 618.19

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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.