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Finding the Fourth Proportional to 878.42, 1,314.39 and 684.02

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Solution

The fourth proportional to 878.42, 1,314.39 and 684.02 is: 1,023.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.42 : 1,314.39 = 684.02 : x
  2. Step 2: Convert to fraction form
    878.42/1,314.39 = 684.02/x
  3. Step 3: Cross multiply
    878.42x = 1,314.39 × 684.02
  4. Step 4: Simplify right side
    878.42x = 899,069.05
  5. Step 5: Solve for x
    x = 899,069.05/878.42
  6. Step 6: Final answer
    x = 1,023.51

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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.