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Finding the Fourth Proportional to 821.86, 1,233.06 and 587.78

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Solution

The fourth proportional to 821.86, 1,233.06 and 587.78 is: 881.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    821.86 : 1,233.06 = 587.78 : x
  2. Step 2: Convert to fraction form
    821.86/1,233.06 = 587.78/x
  3. Step 3: Cross multiply
    821.86x = 1,233.06 × 587.78
  4. Step 4: Simplify right side
    821.86x = 724,768.01
  5. Step 5: Solve for x
    x = 724,768.01/821.86
  6. Step 6: Final answer
    x = 881.86

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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.