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Finding the Fourth Proportional to 709.70, 1,065.25 and 533.39

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Solution

The fourth proportional to 709.70, 1,065.25 and 533.39 is: 800.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.70 : 1,065.25 = 533.39 : x
  2. Step 2: Convert to fraction form
    709.70/1,065.25 = 533.39/x
  3. Step 3: Cross multiply
    709.70x = 1,065.25 × 533.39
  4. Step 4: Simplify right side
    709.70x = 568,198.03
  5. Step 5: Solve for x
    x = 568,198.03/709.70
  6. Step 6: Final answer
    x = 800.62

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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.