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Finding the Fourth Proportional to 1,196.19, 1,651.02 and 699.06

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Solution

The fourth proportional to 1,196.19, 1,651.02 and 699.06 is: 964.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.19 : 1,651.02 = 699.06 : x
  2. Step 2: Convert to fraction form
    1,196.19/1,651.02 = 699.06/x
  3. Step 3: Cross multiply
    1,196.19x = 1,651.02 × 699.06
  4. Step 4: Simplify right side
    1,196.19x = 1,154,162.04
  5. Step 5: Solve for x
    x = 1,154,162.04/1,196.19
  6. Step 6: Final answer
    x = 964.87

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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.