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Finding the Fourth Proportional to 878.74, 1,318.16 and 262.47

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Solution

The fourth proportional to 878.74, 1,318.16 and 262.47 is: 393.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.74 : 1,318.16 = 262.47 : x
  2. Step 2: Convert to fraction form
    878.74/1,318.16 = 262.47/x
  3. Step 3: Cross multiply
    878.74x = 1,318.16 × 262.47
  4. Step 4: Simplify right side
    878.74x = 345,977.46
  5. Step 5: Solve for x
    x = 345,977.46/878.74
  6. Step 6: Final answer
    x = 393.72

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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.