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Finding the Fourth Proportional to 1,212.90, 1,819.66 and 391.16

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Solution

The fourth proportional to 1,212.90, 1,819.66 and 391.16 is: 586.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,212.90 : 1,819.66 = 391.16 : x
  2. Step 2: Convert to fraction form
    1,212.90/1,819.66 = 391.16/x
  3. Step 3: Cross multiply
    1,212.90x = 1,819.66 × 391.16
  4. Step 4: Simplify right side
    1,212.90x = 711,778.21
  5. Step 5: Solve for x
    x = 711,778.21/1,212.90
  6. Step 6: Final answer
    x = 586.84

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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.