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Finding the Fourth Proportional to 709.65, 1,064.66 and 222.66

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Solution

The fourth proportional to 709.65, 1,064.66 and 222.66 is: 334.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.65 : 1,064.66 = 222.66 : x
  2. Step 2: Convert to fraction form
    709.65/1,064.66 = 222.66/x
  3. Step 3: Cross multiply
    709.65x = 1,064.66 × 222.66
  4. Step 4: Simplify right side
    709.65x = 237,056.08
  5. Step 5: Solve for x
    x = 237,056.08/709.65
  6. Step 6: Final answer
    x = 334.05

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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.