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Finding the Fourth Proportional to 1,095.39, 1,641.87 and 965.52

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Solution

The fourth proportional to 1,095.39, 1,641.87 and 965.52 is: 1,447.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.39 : 1,641.87 = 965.52 : x
  2. Step 2: Convert to fraction form
    1,095.39/1,641.87 = 965.52/x
  3. Step 3: Cross multiply
    1,095.39x = 1,641.87 × 965.52
  4. Step 4: Simplify right side
    1,095.39x = 1,585,258.32
  5. Step 5: Solve for x
    x = 1,585,258.32/1,095.39
  6. Step 6: Final answer
    x = 1,447.21

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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.