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Finding the Fourth Proportional to 878.12, 1,318.62 and 840.68

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Solution

The fourth proportional to 878.12, 1,318.62 and 840.68 is: 1,262.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.12 : 1,318.62 = 840.68 : x
  2. Step 2: Convert to fraction form
    878.12/1,318.62 = 840.68/x
  3. Step 3: Cross multiply
    878.12x = 1,318.62 × 840.68
  4. Step 4: Simplify right side
    878.12x = 1,108,537.46
  5. Step 5: Solve for x
    x = 1,108,537.46/878.12
  6. Step 6: Final answer
    x = 1,262.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.