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Finding the Fourth Proportional to 1,196.51, 1,651.12 and 665.43

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Solution

The fourth proportional to 1,196.51, 1,651.12 and 665.43 is: 918.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.51 : 1,651.12 = 665.43 : x
  2. Step 2: Convert to fraction form
    1,196.51/1,651.12 = 665.43/x
  3. Step 3: Cross multiply
    1,196.51x = 1,651.12 × 665.43
  4. Step 4: Simplify right side
    1,196.51x = 1,098,704.78
  5. Step 5: Solve for x
    x = 1,098,704.78/1,196.51
  6. Step 6: Final answer
    x = 918.26

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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.