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Finding the Fourth Proportional to 1,081.05, 1,491.89 and 709.01

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Solution

The fourth proportional to 1,081.05, 1,491.89 and 709.01 is: 978.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,081.05 : 1,491.89 = 709.01 : x
  2. Step 2: Convert to fraction form
    1,081.05/1,491.89 = 709.01/x
  3. Step 3: Cross multiply
    1,081.05x = 1,491.89 × 709.01
  4. Step 4: Simplify right side
    1,081.05x = 1,057,759.52
  5. Step 5: Solve for x
    x = 1,057,759.52/1,081.05
  6. Step 6: Final answer
    x = 978.45

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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.