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Finding the Fourth Proportional to 1,193.40, 1,789.97 and 500.18

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Solution

The fourth proportional to 1,193.40, 1,789.97 and 500.18 is: 750.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.40 : 1,789.97 = 500.18 : x
  2. Step 2: Convert to fraction form
    1,193.40/1,789.97 = 500.18/x
  3. Step 3: Cross multiply
    1,193.40x = 1,789.97 × 500.18
  4. Step 4: Simplify right side
    1,193.40x = 895,295.74
  5. Step 5: Solve for x
    x = 895,295.74/1,193.40
  6. Step 6: Final answer
    x = 750.21

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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.