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Finding the Fourth Proportional to 1,083.71, 1,626.51 and 960.59

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Solution

The fourth proportional to 1,083.71, 1,626.51 and 960.59 is: 1,441.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,083.71 : 1,626.51 = 960.59 : x
  2. Step 2: Convert to fraction form
    1,083.71/1,626.51 = 960.59/x
  3. Step 3: Cross multiply
    1,083.71x = 1,626.51 × 960.59
  4. Step 4: Simplify right side
    1,083.71x = 1,562,409.24
  5. Step 5: Solve for x
    x = 1,562,409.24/1,083.71
  6. Step 6: Final answer
    x = 1,441.72

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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.