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Finding the Fourth Proportional to 709.74, 1,064.71 and 222.83

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Solution

The fourth proportional to 709.74, 1,064.71 and 222.83 is: 334.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.74 : 1,064.71 = 222.83 : x
  2. Step 2: Convert to fraction form
    709.74/1,064.71 = 222.83/x
  3. Step 3: Cross multiply
    709.74x = 1,064.71 × 222.83
  4. Step 4: Simplify right side
    709.74x = 237,249.33
  5. Step 5: Solve for x
    x = 237,249.33/709.74
  6. Step 6: Final answer
    x = 334.28

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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.