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Finding the Fourth Proportional to 1,403.84, 1,935.81 and 905.49

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Solution

The fourth proportional to 1,403.84, 1,935.81 and 905.49 is: 1,248.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.84 : 1,935.81 = 905.49 : x
  2. Step 2: Convert to fraction form
    1,403.84/1,935.81 = 905.49/x
  3. Step 3: Cross multiply
    1,403.84x = 1,935.81 × 905.49
  4. Step 4: Simplify right side
    1,403.84x = 1,752,856.60
  5. Step 5: Solve for x
    x = 1,752,856.60/1,403.84
  6. Step 6: Final answer
    x = 1,248.62

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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.