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Finding the Fourth Proportional to 846.25, 1,269.17 and 709.36

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Solution

The fourth proportional to 846.25, 1,269.17 and 709.36 is: 1,063.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.25 : 1,269.17 = 709.36 : x
  2. Step 2: Convert to fraction form
    846.25/1,269.17 = 709.36/x
  3. Step 3: Cross multiply
    846.25x = 1,269.17 × 709.36
  4. Step 4: Simplify right side
    846.25x = 900,288.54
  5. Step 5: Solve for x
    x = 900,288.54/846.25
  6. Step 6: Final answer
    x = 1,063.86

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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.