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Finding the Fourth Proportional to 878.01, 1,211.47 and 523.84

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Solution

The fourth proportional to 878.01, 1,211.47 and 523.84 is: 722.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.01 : 1,211.47 = 523.84 : x
  2. Step 2: Convert to fraction form
    878.01/1,211.47 = 523.84/x
  3. Step 3: Cross multiply
    878.01x = 1,211.47 × 523.84
  4. Step 4: Simplify right side
    878.01x = 634,612.11
  5. Step 5: Solve for x
    x = 634,612.11/878.01
  6. Step 6: Final answer
    x = 722.78

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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.