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Finding the Fourth Proportional to 709.53, 1,064.82 and 271.21

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Solution

The fourth proportional to 709.53, 1,064.82 and 271.21 is: 407.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.53 : 1,064.82 = 271.21 : x
  2. Step 2: Convert to fraction form
    709.53/1,064.82 = 271.21/x
  3. Step 3: Cross multiply
    709.53x = 1,064.82 × 271.21
  4. Step 4: Simplify right side
    709.53x = 288,789.83
  5. Step 5: Solve for x
    x = 288,789.83/709.53
  6. Step 6: Final answer
    x = 407.02

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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.