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Finding the Fourth Proportional to 792.99, 1,189.49 and 520.81

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Solution

The fourth proportional to 792.99, 1,189.49 and 520.81 is: 781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.99 : 1,189.49 = 520.81 : x
  2. Step 2: Convert to fraction form
    792.99/1,189.49 = 520.81/x
  3. Step 3: Cross multiply
    792.99x = 1,189.49 × 520.81
  4. Step 4: Simplify right side
    792.99x = 619,498.29
  5. Step 5: Solve for x
    x = 619,498.29/792.99
  6. Step 6: Final answer
    x = 781.22

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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.