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Finding the Fourth Proportional to 775.48, 1,161.84 and 409.45

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Solution

The fourth proportional to 775.48, 1,161.84 and 409.45 is: 613.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.48 : 1,161.84 = 409.45 : x
  2. Step 2: Convert to fraction form
    775.48/1,161.84 = 409.45/x
  3. Step 3: Cross multiply
    775.48x = 1,161.84 × 409.45
  4. Step 4: Simplify right side
    775.48x = 475,715.39
  5. Step 5: Solve for x
    x = 475,715.39/775.48
  6. Step 6: Final answer
    x = 613.45

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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.