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Finding the Fourth Proportional to 1,863.87, 2,795.79 and 709.62

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Solution

The fourth proportional to 1,863.87, 2,795.79 and 709.62 is: 1,064.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,863.87 : 2,795.79 = 709.62 : x
  2. Step 2: Convert to fraction form
    1,863.87/2,795.79 = 709.62/x
  3. Step 3: Cross multiply
    1,863.87x = 2,795.79 × 709.62
  4. Step 4: Simplify right side
    1,863.87x = 1,983,948.50
  5. Step 5: Solve for x
    x = 1,983,948.50/1,863.87
  6. Step 6: Final answer
    x = 1,064.42

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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.