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Finding the Fourth Proportional to 878.54, 1,313.93 and 781.73

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Solution

The fourth proportional to 878.54, 1,313.93 and 781.73 is: 1,169.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.54 : 1,313.93 = 781.73 : x
  2. Step 2: Convert to fraction form
    878.54/1,313.93 = 781.73/x
  3. Step 3: Cross multiply
    878.54x = 1,313.93 × 781.73
  4. Step 4: Simplify right side
    878.54x = 1,027,128.02
  5. Step 5: Solve for x
    x = 1,027,128.02/878.54
  6. Step 6: Final answer
    x = 1,169.14

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Why These Related Problems?

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