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Finding the Fourth Proportional to 709.32, 1,064.09 and 343.81

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Solution

The fourth proportional to 709.32, 1,064.09 and 343.81 is: 515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.32 : 1,064.09 = 343.81 : x
  2. Step 2: Convert to fraction form
    709.32/1,064.09 = 343.81/x
  3. Step 3: Cross multiply
    709.32x = 1,064.09 × 343.81
  4. Step 4: Simplify right side
    709.32x = 365,844.78
  5. Step 5: Solve for x
    x = 365,844.78/709.32
  6. Step 6: Final answer
    x = 515.77

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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.