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Finding the Fourth Proportional to 1,219.91, 1,829.73 and 398.12

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Solution

The fourth proportional to 1,219.91, 1,829.73 and 398.12 is: 597.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.91 : 1,829.73 = 398.12 : x
  2. Step 2: Convert to fraction form
    1,219.91/1,829.73 = 398.12/x
  3. Step 3: Cross multiply
    1,219.91x = 1,829.73 × 398.12
  4. Step 4: Simplify right side
    1,219.91x = 728,452.11
  5. Step 5: Solve for x
    x = 728,452.11/1,219.91
  6. Step 6: Final answer
    x = 597.14

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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.