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Finding the Fourth Proportional to 878.70, 1,317.44 and 416.22

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Solution

The fourth proportional to 878.70, 1,317.44 and 416.22 is: 624.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.70 : 1,317.44 = 416.22 : x
  2. Step 2: Convert to fraction form
    878.70/1,317.44 = 416.22/x
  3. Step 3: Cross multiply
    878.70x = 1,317.44 × 416.22
  4. Step 4: Simplify right side
    878.70x = 548,344.88
  5. Step 5: Solve for x
    x = 548,344.88/878.70
  6. Step 6: Final answer
    x = 624.04

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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.