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Finding the Fourth Proportional to 1,195.77, 1,649.82 and 691.62

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Solution

The fourth proportional to 1,195.77, 1,649.82 and 691.62 is: 954.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195.77 : 1,649.82 = 691.62 : x
  2. Step 2: Convert to fraction form
    1,195.77/1,649.82 = 691.62/x
  3. Step 3: Cross multiply
    1,195.77x = 1,649.82 × 691.62
  4. Step 4: Simplify right side
    1,195.77x = 1,141,048.51
  5. Step 5: Solve for x
    x = 1,141,048.51/1,195.77
  6. Step 6: Final answer
    x = 954.24

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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.