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Finding the Fourth Proportional to 1,098.86, 1,641.99 and 1,078.34

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Solution

The fourth proportional to 1,098.86, 1,641.99 and 1,078.34 is: 1,611.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.86 : 1,641.99 = 1,078.34 : x
  2. Step 2: Convert to fraction form
    1,098.86/1,641.99 = 1,078.34/x
  3. Step 3: Cross multiply
    1,098.86x = 1,641.99 × 1,078.34
  4. Step 4: Simplify right side
    1,098.86x = 1,770,618.10
  5. Step 5: Solve for x
    x = 1,770,618.10/1,098.86
  6. Step 6: Final answer
    x = 1,611.32

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.