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Finding the Fourth Proportional to 709.64, 1,064.57 and 222.57

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Solution

The fourth proportional to 709.64, 1,064.57 and 222.57 is: 333.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.64 : 1,064.57 = 222.57 : x
  2. Step 2: Convert to fraction form
    709.64/1,064.57 = 222.57/x
  3. Step 3: Cross multiply
    709.64x = 1,064.57 × 222.57
  4. Step 4: Simplify right side
    709.64x = 236,940.23
  5. Step 5: Solve for x
    x = 236,940.23/709.64
  6. Step 6: Final answer
    x = 333.89

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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.