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Finding the Fourth Proportional to 1,409.13, 1,943.46 and 885.33

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Solution

The fourth proportional to 1,409.13, 1,943.46 and 885.33 is: 1,221.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,409.13 : 1,943.46 = 885.33 : x
  2. Step 2: Convert to fraction form
    1,409.13/1,943.46 = 885.33/x
  3. Step 3: Cross multiply
    1,409.13x = 1,943.46 × 885.33
  4. Step 4: Simplify right side
    1,409.13x = 1,720,603.44
  5. Step 5: Solve for x
    x = 1,720,603.44/1,409.13
  6. Step 6: Final answer
    x = 1,221.04

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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.