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Finding the Fourth Proportional to 821.42, 1,133.87 and 506.74

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Solution

The fourth proportional to 821.42, 1,133.87 and 506.74 is: 699.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.42 : 1,133.87 = 506.74 : x
  2. Step 2: Convert to fraction form
    821.42/1,133.87 = 506.74/x
  3. Step 3: Cross multiply
    821.42x = 1,133.87 × 506.74
  4. Step 4: Simplify right side
    821.42x = 574,571.92
  5. Step 5: Solve for x
    x = 574,571.92/821.42
  6. Step 6: Final answer
    x = 699.48

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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.