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Finding the Fourth Proportional to 785.05, 1,082.76 and 575.15

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Solution

The fourth proportional to 785.05, 1,082.76 and 575.15 is: 793.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.05 : 1,082.76 = 575.15 : x
  2. Step 2: Convert to fraction form
    785.05/1,082.76 = 575.15/x
  3. Step 3: Cross multiply
    785.05x = 1,082.76 × 575.15
  4. Step 4: Simplify right side
    785.05x = 622,748.14
  5. Step 5: Solve for x
    x = 622,748.14/785.05
  6. Step 6: Final answer
    x = 793.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.