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Finding the Fourth Proportional to 852.05, 1,175.81 and 557.31

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Solution

The fourth proportional to 852.05, 1,175.81 and 557.31 is: 769.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.05 : 1,175.81 = 557.31 : x
  2. Step 2: Convert to fraction form
    852.05/1,175.81 = 557.31/x
  3. Step 3: Cross multiply
    852.05x = 1,175.81 × 557.31
  4. Step 4: Simplify right side
    852.05x = 655,291.44
  5. Step 5: Solve for x
    x = 655,291.44/852.05
  6. Step 6: Final answer
    x = 769.08

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Why These Related Problems?

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