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Finding the Fourth Proportional to 1,189.82, 1,641.91 and 651.43

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Solution

The fourth proportional to 1,189.82, 1,641.91 and 651.43 is: 898.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,189.82 : 1,641.91 = 651.43 : x
  2. Step 2: Convert to fraction form
    1,189.82/1,641.91 = 651.43/x
  3. Step 3: Cross multiply
    1,189.82x = 1,641.91 × 651.43
  4. Step 4: Simplify right side
    1,189.82x = 1,069,589.43
  5. Step 5: Solve for x
    x = 1,069,589.43/1,189.82
  6. Step 6: Final answer
    x = 898.95

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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.