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Finding the Fourth Proportional to 709.51, 1,064.22 and 319.27

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Solution

The fourth proportional to 709.51, 1,064.22 and 319.27 is: 478.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.51 : 1,064.22 = 319.27 : x
  2. Step 2: Convert to fraction form
    709.51/1,064.22 = 319.27/x
  3. Step 3: Cross multiply
    709.51x = 1,064.22 × 319.27
  4. Step 4: Simplify right side
    709.51x = 339,773.52
  5. Step 5: Solve for x
    x = 339,773.52/709.51
  6. Step 6: Final answer
    x = 478.88

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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.