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Finding the Fourth Proportional to 774.88, 1,162.54 and 227.06

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Solution

The fourth proportional to 774.88, 1,162.54 and 227.06 is: 340.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.88 : 1,162.54 = 227.06 : x
  2. Step 2: Convert to fraction form
    774.88/1,162.54 = 227.06/x
  3. Step 3: Cross multiply
    774.88x = 1,162.54 × 227.06
  4. Step 4: Simplify right side
    774.88x = 263,966.33
  5. Step 5: Solve for x
    x = 263,966.33/774.88
  6. Step 6: Final answer
    x = 340.65

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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.