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Finding the Fourth Proportional to 821.91, 1,233.16 and 509.19

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Solution

The fourth proportional to 821.91, 1,233.16 and 509.19 is: 763.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.91 : 1,233.16 = 509.19 : x
  2. Step 2: Convert to fraction form
    821.91/1,233.16 = 509.19/x
  3. Step 3: Cross multiply
    821.91x = 1,233.16 × 509.19
  4. Step 4: Simplify right side
    821.91x = 627,912.74
  5. Step 5: Solve for x
    x = 627,912.74/821.91
  6. Step 6: Final answer
    x = 763.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.