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Finding the Fourth Proportional to 1,380.92, 1,905.77 and 783.41

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Solution

The fourth proportional to 1,380.92, 1,905.77 and 783.41 is: 1,081.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.92 : 1,905.77 = 783.41 : x
  2. Step 2: Convert to fraction form
    1,380.92/1,905.77 = 783.41/x
  3. Step 3: Cross multiply
    1,380.92x = 1,905.77 × 783.41
  4. Step 4: Simplify right side
    1,380.92x = 1,492,991.71
  5. Step 5: Solve for x
    x = 1,492,991.71/1,380.92
  6. Step 6: Final answer
    x = 1,081.16

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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.