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Finding the Fourth Proportional to 773.75, 1,158.27 and 500.03

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Solution

The fourth proportional to 773.75, 1,158.27 and 500.03 is: 748.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.75 : 1,158.27 = 500.03 : x
  2. Step 2: Convert to fraction form
    773.75/1,158.27 = 500.03/x
  3. Step 3: Cross multiply
    773.75x = 1,158.27 × 500.03
  4. Step 4: Simplify right side
    773.75x = 579,163.96
  5. Step 5: Solve for x
    x = 579,163.96/773.75
  6. Step 6: Final answer
    x = 748.52

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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.