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Finding the Fourth Proportional to 1,214.35, 1,673.96 and 878.10

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Solution

The fourth proportional to 1,214.35, 1,673.96 and 878.10 is: 1,210.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.35 : 1,673.96 = 878.10 : x
  2. Step 2: Convert to fraction form
    1,214.35/1,673.96 = 878.10/x
  3. Step 3: Cross multiply
    1,214.35x = 1,673.96 × 878.10
  4. Step 4: Simplify right side
    1,214.35x = 1,469,898.55
  5. Step 5: Solve for x
    x = 1,469,898.55/1,214.35
  6. Step 6: Final answer
    x = 1,210.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.