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Finding the Fourth Proportional to 775.31, 1,162.25 and 364.10

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Solution

The fourth proportional to 775.31, 1,162.25 and 364.10 is: 545.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.31 : 1,162.25 = 364.10 : x
  2. Step 2: Convert to fraction form
    775.31/1,162.25 = 364.10/x
  3. Step 3: Cross multiply
    775.31x = 1,162.25 × 364.10
  4. Step 4: Simplify right side
    775.31x = 423,168.96
  5. Step 5: Solve for x
    x = 423,168.96/775.31
  6. Step 6: Final answer
    x = 545.81

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.