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Finding the Fourth Proportional to 878.22, 1,212.26 and 597.86

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Solution

The fourth proportional to 878.22, 1,212.26 and 597.86 is: 825.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.22 : 1,212.26 = 597.86 : x
  2. Step 2: Convert to fraction form
    878.22/1,212.26 = 597.86/x
  3. Step 3: Cross multiply
    878.22x = 1,212.26 × 597.86
  4. Step 4: Simplify right side
    878.22x = 724,761.76
  5. Step 5: Solve for x
    x = 724,761.76/878.22
  6. Step 6: Final answer
    x = 825.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.