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Finding the Fourth Proportional to 709.83, 1,064.91 and 222.88

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Solution

The fourth proportional to 709.83, 1,064.91 and 222.88 is: 334.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.83 : 1,064.91 = 222.88 : x
  2. Step 2: Convert to fraction form
    709.83/1,064.91 = 222.88/x
  3. Step 3: Cross multiply
    709.83x = 1,064.91 × 222.88
  4. Step 4: Simplify right side
    709.83x = 237,347.27
  5. Step 5: Solve for x
    x = 237,347.27/709.83
  6. Step 6: Final answer
    x = 334.37

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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.