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Finding the Fourth Proportional to 1,288.23, 1,932.36 and 671.82

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Solution

The fourth proportional to 1,288.23, 1,932.36 and 671.82 is: 1,007.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288.23 : 1,932.36 = 671.82 : x
  2. Step 2: Convert to fraction form
    1,288.23/1,932.36 = 671.82/x
  3. Step 3: Cross multiply
    1,288.23x = 1,932.36 × 671.82
  4. Step 4: Simplify right side
    1,288.23x = 1,298,198.10
  5. Step 5: Solve for x
    x = 1,298,198.10/1,288.23
  6. Step 6: Final answer
    x = 1,007.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.