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Finding the Fourth Proportional to 1,196.02, 1,650.34 and 699.09

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Solution

The fourth proportional to 1,196.02, 1,650.34 and 699.09 is: 964.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.02 : 1,650.34 = 699.09 : x
  2. Step 2: Convert to fraction form
    1,196.02/1,650.34 = 699.09/x
  3. Step 3: Cross multiply
    1,196.02x = 1,650.34 × 699.09
  4. Step 4: Simplify right side
    1,196.02x = 1,153,736.19
  5. Step 5: Solve for x
    x = 1,153,736.19/1,196.02
  6. Step 6: Final answer
    x = 964.65

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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.