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Finding the Fourth Proportional to 1,193.43, 1,789.59 and 453.18

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Solution

The fourth proportional to 1,193.43, 1,789.59 and 453.18 is: 679.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.43 : 1,789.59 = 453.18 : x
  2. Step 2: Convert to fraction form
    1,193.43/1,789.59 = 453.18/x
  3. Step 3: Cross multiply
    1,193.43x = 1,789.59 × 453.18
  4. Step 4: Simplify right side
    1,193.43x = 811,006.40
  5. Step 5: Solve for x
    x = 811,006.40/1,193.43
  6. Step 6: Final answer
    x = 679.56

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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.