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Finding the Fourth Proportional to 1,214.40, 1,819.17 and 995.70

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Solution

The fourth proportional to 1,214.40, 1,819.17 and 995.70 is: 1,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,214.40 : 1,819.17 = 995.70 : x
  2. Step 2: Convert to fraction form
    1,214.40/1,819.17 = 995.70/x
  3. Step 3: Cross multiply
    1,214.40x = 1,819.17 × 995.70
  4. Step 4: Simplify right side
    1,214.40x = 1,811,347.57
  5. Step 5: Solve for x
    x = 1,811,347.57/1,214.40
  6. Step 6: Final answer
    x = 1,491.56

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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.