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Finding the Fourth Proportional to 775.49, 1,161.57 and 364.01

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Solution

The fourth proportional to 775.49, 1,161.57 and 364.01 is: 545.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.49 : 1,161.57 = 364.01 : x
  2. Step 2: Convert to fraction form
    775.49/1,161.57 = 364.01/x
  3. Step 3: Cross multiply
    775.49x = 1,161.57 × 364.01
  4. Step 4: Simplify right side
    775.49x = 422,822.12
  5. Step 5: Solve for x
    x = 422,822.12/775.49
  6. Step 6: Final answer
    x = 545.23

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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.