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Finding the Fourth Proportional to 1,091.65, 1,504.72 and 737.46

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Solution

The fourth proportional to 1,091.65, 1,504.72 and 737.46 is: 1,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.65 : 1,504.72 = 737.46 : x
  2. Step 2: Convert to fraction form
    1,091.65/1,504.72 = 737.46/x
  3. Step 3: Cross multiply
    1,091.65x = 1,504.72 × 737.46
  4. Step 4: Simplify right side
    1,091.65x = 1,109,667.54
  5. Step 5: Solve for x
    x = 1,109,667.54/1,091.65
  6. Step 6: Final answer
    x = 1,016.51

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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.