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Finding the Fourth Proportional to 709.78, 1,064.80 and 222.76

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Solution

The fourth proportional to 709.78, 1,064.80 and 222.76 is: 334.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.78 : 1,064.80 = 222.76 : x
  2. Step 2: Convert to fraction form
    709.78/1,064.80 = 222.76/x
  3. Step 3: Cross multiply
    709.78x = 1,064.80 × 222.76
  4. Step 4: Simplify right side
    709.78x = 237,194.85
  5. Step 5: Solve for x
    x = 237,194.85/709.78
  6. Step 6: Final answer
    x = 334.18

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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.