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Finding the Fourth Proportional to 852, 1,175.76 and 557.76

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Solution

The fourth proportional to 852, 1,175.76 and 557.76 is: 769.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    852 : 1,175.76 = 557.76 : x
  2. Step 2: Convert to fraction form
    852/1,175.76 = 557.76/x
  3. Step 3: Cross multiply
    852x = 1,175.76 × 557.76
  4. Step 4: Simplify right side
    852x = 655,791.90
  5. Step 5: Solve for x
    x = 655,791.90/852
  6. Step 6: Final answer
    x = 769.71

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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.