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Finding the Fourth Proportional to 1,089.86, 1,641.26 and 1,016.96

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Solution

The fourth proportional to 1,089.86, 1,641.26 and 1,016.96 is: 1,531.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,089.86 : 1,641.26 = 1,016.96 : x
  2. Step 2: Convert to fraction form
    1,089.86/1,641.26 = 1,016.96/x
  3. Step 3: Cross multiply
    1,089.86x = 1,641.26 × 1,016.96
  4. Step 4: Simplify right side
    1,089.86x = 1,669,095.77
  5. Step 5: Solve for x
    x = 1,669,095.77/1,089.86
  6. Step 6: Final answer
    x = 1,531.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.