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Finding the Fourth Proportional to 1,213.02, 1,819.46 and 391.28

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Solution

The fourth proportional to 1,213.02, 1,819.46 and 391.28 is: 586.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,213.02 : 1,819.46 = 391.28 : x
  2. Step 2: Convert to fraction form
    1,213.02/1,819.46 = 391.28/x
  3. Step 3: Cross multiply
    1,213.02x = 1,819.46 × 391.28
  4. Step 4: Simplify right side
    1,213.02x = 711,910.19
  5. Step 5: Solve for x
    x = 711,910.19/1,213.02
  6. Step 6: Final answer
    x = 586.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.