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Finding the Fourth Proportional to 1,161.44, 1,603.19 and 695.69

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Solution

The fourth proportional to 1,161.44, 1,603.19 and 695.69 is: 960.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.44 : 1,603.19 = 695.69 : x
  2. Step 2: Convert to fraction form
    1,161.44/1,603.19 = 695.69/x
  3. Step 3: Cross multiply
    1,161.44x = 1,603.19 × 695.69
  4. Step 4: Simplify right side
    1,161.44x = 1,115,323.25
  5. Step 5: Solve for x
    x = 1,115,323.25/1,161.44
  6. Step 6: Final answer
    x = 960.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.