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Finding the Fourth Proportional to 775.42, 1,163.40 and 364.87

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Solution

The fourth proportional to 775.42, 1,163.40 and 364.87 is: 547.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.42 : 1,163.40 = 364.87 : x
  2. Step 2: Convert to fraction form
    775.42/1,163.40 = 364.87/x
  3. Step 3: Cross multiply
    775.42x = 1,163.40 × 364.87
  4. Step 4: Simplify right side
    775.42x = 424,489.76
  5. Step 5: Solve for x
    x = 424,489.76/775.42
  6. Step 6: Final answer
    x = 547.43

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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.