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Finding the Fourth Proportional to 1,578.50, 2,367.93 and 809.18

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Solution

The fourth proportional to 1,578.50, 2,367.93 and 809.18 is: 1,213.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.50 : 2,367.93 = 809.18 : x
  2. Step 2: Convert to fraction form
    1,578.50/2,367.93 = 809.18/x
  3. Step 3: Cross multiply
    1,578.50x = 2,367.93 × 809.18
  4. Step 4: Simplify right side
    1,578.50x = 1,916,081.60
  5. Step 5: Solve for x
    x = 1,916,081.60/1,578.50
  6. Step 6: Final answer
    x = 1,213.86

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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.