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Finding the Fourth Proportional to 1,219.86, 1,830.08 and 398.13

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Solution

The fourth proportional to 1,219.86, 1,830.08 and 398.13 is: 597.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.86 : 1,830.08 = 398.13 : x
  2. Step 2: Convert to fraction form
    1,219.86/1,830.08 = 398.13/x
  3. Step 3: Cross multiply
    1,219.86x = 1,830.08 × 398.13
  4. Step 4: Simplify right side
    1,219.86x = 728,611.94
  5. Step 5: Solve for x
    x = 728,611.94/1,219.86
  6. Step 6: Final answer
    x = 597.29

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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.