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Finding the Fourth Proportional to 878.86, 1,318.46 and 262.55

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Solution

The fourth proportional to 878.86, 1,318.46 and 262.55 is: 393.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.86 : 1,318.46 = 262.55 : x
  2. Step 2: Convert to fraction form
    878.86/1,318.46 = 262.55/x
  3. Step 3: Cross multiply
    878.86x = 1,318.46 × 262.55
  4. Step 4: Simplify right side
    878.86x = 346,165.63
  5. Step 5: Solve for x
    x = 346,165.63/878.86
  6. Step 6: Final answer
    x = 393.88

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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.