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Finding the Fourth Proportional to 878.06, 1,211.78 and 598.86

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Solution

The fourth proportional to 878.06, 1,211.78 and 598.86 is: 826.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.06 : 1,211.78 = 598.86 : x
  2. Step 2: Convert to fraction form
    878.06/1,211.78 = 598.86/x
  3. Step 3: Cross multiply
    878.06x = 1,211.78 × 598.86
  4. Step 4: Simplify right side
    878.06x = 725,686.57
  5. Step 5: Solve for x
    x = 725,686.57/878.06
  6. Step 6: Final answer
    x = 826.47

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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.