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Finding the Fourth Proportional to 1,085.29, 1,496.15 and 774.25

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Solution

The fourth proportional to 1,085.29, 1,496.15 and 774.25 is: 1,067.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,085.29 : 1,496.15 = 774.25 : x
  2. Step 2: Convert to fraction form
    1,085.29/1,496.15 = 774.25/x
  3. Step 3: Cross multiply
    1,085.29x = 1,496.15 × 774.25
  4. Step 4: Simplify right side
    1,085.29x = 1,158,390.27
  5. Step 5: Solve for x
    x = 1,158,390.27/1,085.29
  6. Step 6: Final answer
    x = 1,067.36

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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.