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Finding the Fourth Proportional to 1,196.69, 1,651.02 and 748.27

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Solution

The fourth proportional to 1,196.69, 1,651.02 and 748.27 is: 1,032.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,196.69 : 1,651.02 = 748.27 : x
  2. Step 2: Convert to fraction form
    1,196.69/1,651.02 = 748.27/x
  3. Step 3: Cross multiply
    1,196.69x = 1,651.02 × 748.27
  4. Step 4: Simplify right side
    1,196.69x = 1,235,400.48
  5. Step 5: Solve for x
    x = 1,235,400.48/1,196.69
  6. Step 6: Final answer
    x = 1,032.35

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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.