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Finding the Fourth Proportional to 1,398.12, 1,925.97 and 1,198.29

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Solution

The fourth proportional to 1,398.12, 1,925.97 and 1,198.29 is: 1,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,398.12 : 1,925.97 = 1,198.29 : x
  2. Step 2: Convert to fraction form
    1,398.12/1,925.97 = 1,198.29/x
  3. Step 3: Cross multiply
    1,398.12x = 1,925.97 × 1,198.29
  4. Step 4: Simplify right side
    1,398.12x = 2,307,873.32
  5. Step 5: Solve for x
    x = 2,307,873.32/1,398.12
  6. Step 6: Final answer
    x = 1,650.70

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.