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Finding the Fourth Proportional to 775.74, 1,162.83 and 337.26

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Solution

The fourth proportional to 775.74, 1,162.83 and 337.26 is: 505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.74 : 1,162.83 = 337.26 : x
  2. Step 2: Convert to fraction form
    775.74/1,162.83 = 337.26/x
  3. Step 3: Cross multiply
    775.74x = 1,162.83 × 337.26
  4. Step 4: Simplify right side
    775.74x = 392,176.05
  5. Step 5: Solve for x
    x = 392,176.05/775.74
  6. Step 6: Final answer
    x = 505.55

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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.