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Finding the Fourth Proportional to 878.23, 1,212.36 and 546.86

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Solution

The fourth proportional to 878.23, 1,212.36 and 546.86 is: 754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.23 : 1,212.36 = 546.86 : x
  2. Step 2: Convert to fraction form
    878.23/1,212.36 = 546.86/x
  3. Step 3: Cross multiply
    878.23x = 1,212.36 × 546.86
  4. Step 4: Simplify right side
    878.23x = 662,985.13
  5. Step 5: Solve for x
    x = 662,985.13/878.23
  6. Step 6: Final answer
    x = 754.91

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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.