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Finding the Fourth Proportional to 1,196.36, 1,651.01 and 698.99

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Solution

The fourth proportional to 1,196.36, 1,651.01 and 698.99 is: 964.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.36 : 1,651.01 = 698.99 : x
  2. Step 2: Convert to fraction form
    1,196.36/1,651.01 = 698.99/x
  3. Step 3: Cross multiply
    1,196.36x = 1,651.01 × 698.99
  4. Step 4: Simplify right side
    1,196.36x = 1,154,035.28
  5. Step 5: Solve for x
    x = 1,154,035.28/1,196.36
  6. Step 6: Final answer
    x = 964.62

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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.