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Finding the Fourth Proportional to 742.77, 1,114.43 and 357.75

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Solution

The fourth proportional to 742.77, 1,114.43 and 357.75 is: 536.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.77 : 1,114.43 = 357.75 : x
  2. Step 2: Convert to fraction form
    742.77/1,114.43 = 357.75/x
  3. Step 3: Cross multiply
    742.77x = 1,114.43 × 357.75
  4. Step 4: Simplify right side
    742.77x = 398,685.54
  5. Step 5: Solve for x
    x = 398,685.54/742.77
  6. Step 6: Final answer
    x = 536.76

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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.