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Finding the Fourth Proportional to 999.73, 1,496.75 and 794.59

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Solution

The fourth proportional to 999.73, 1,496.75 and 794.59 is: 1,189.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    999.73 : 1,496.75 = 794.59 : x
  2. Step 2: Convert to fraction form
    999.73/1,496.75 = 794.59/x
  3. Step 3: Cross multiply
    999.73x = 1,496.75 × 794.59
  4. Step 4: Simplify right side
    999.73x = 1,189,302.58
  5. Step 5: Solve for x
    x = 1,189,302.58/999.73
  6. Step 6: Final answer
    x = 1,189.62

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Why These Related Problems?

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