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Finding the Fourth Proportional to 872.87, 1,309.84 and 783.23

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Solution

The fourth proportional to 872.87, 1,309.84 and 783.23 is: 1,175.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.87 : 1,309.84 = 783.23 : x
  2. Step 2: Convert to fraction form
    872.87/1,309.84 = 783.23/x
  3. Step 3: Cross multiply
    872.87x = 1,309.84 × 783.23
  4. Step 4: Simplify right side
    872.87x = 1,025,897.48
  5. Step 5: Solve for x
    x = 1,025,897.48/872.87
  6. Step 6: Final answer
    x = 1,175.32

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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.