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Finding the Fourth Proportional to 775.06, 1,162.86 and 342.25

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Solution

The fourth proportional to 775.06, 1,162.86 and 342.25 is: 513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    775.06 : 1,162.86 = 342.25 : x
  2. Step 2: Convert to fraction form
    775.06/1,162.86 = 342.25/x
  3. Step 3: Cross multiply
    775.06x = 1,162.86 × 342.25
  4. Step 4: Simplify right side
    775.06x = 397,988.84
  5. Step 5: Solve for x
    x = 397,988.84/775.06
  6. Step 6: Final answer
    x = 513.49

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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.