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Finding the Fourth Proportional to 775.38, 1,162.35 and 409.86

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Solution

The fourth proportional to 775.38, 1,162.35 and 409.86 is: 614.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.38 : 1,162.35 = 409.86 : x
  2. Step 2: Convert to fraction form
    775.38/1,162.35 = 409.86/x
  3. Step 3: Cross multiply
    775.38x = 1,162.35 × 409.86
  4. Step 4: Simplify right side
    775.38x = 476,400.77
  5. Step 5: Solve for x
    x = 476,400.77/775.38
  6. Step 6: Final answer
    x = 614.41

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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.