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Finding the Fourth Proportional to 1,197.07, 1,651.97 and 699.53

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Solution

The fourth proportional to 1,197.07, 1,651.97 and 699.53 is: 965.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,197.07 : 1,651.97 = 699.53 : x
  2. Step 2: Convert to fraction form
    1,197.07/1,651.97 = 699.53/x
  3. Step 3: Cross multiply
    1,197.07x = 1,651.97 × 699.53
  4. Step 4: Simplify right side
    1,197.07x = 1,155,596.06
  5. Step 5: Solve for x
    x = 1,155,596.06/1,197.07
  6. Step 6: Final answer
    x = 965.36

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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.