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Finding the Fourth Proportional to 793.24, 1,189.87 and 521.05

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Solution

The fourth proportional to 793.24, 1,189.87 and 521.05 is: 781.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    793.24 : 1,189.87 = 521.05 : x
  2. Step 2: Convert to fraction form
    793.24/1,189.87 = 521.05/x
  3. Step 3: Cross multiply
    793.24x = 1,189.87 × 521.05
  4. Step 4: Simplify right side
    793.24x = 619,981.76
  5. Step 5: Solve for x
    x = 619,981.76/793.24
  6. Step 6: Final answer
    x = 781.58

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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.