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Finding the Fourth Proportional to 821.29, 1,133.69 and 506.61

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Solution

The fourth proportional to 821.29, 1,133.69 and 506.61 is: 699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.29 : 1,133.69 = 506.61 : x
  2. Step 2: Convert to fraction form
    821.29/1,133.69 = 506.61/x
  3. Step 3: Cross multiply
    821.29x = 1,133.69 × 506.61
  4. Step 4: Simplify right side
    821.29x = 574,338.69
  5. Step 5: Solve for x
    x = 574,338.69/821.29
  6. Step 6: Final answer
    x = 699.31

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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.