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Finding the Fourth Proportional to 863.87, 1,192.07 and 569.23

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Solution

The fourth proportional to 863.87, 1,192.07 and 569.23 is: 785.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.87 : 1,192.07 = 569.23 : x
  2. Step 2: Convert to fraction form
    863.87/1,192.07 = 569.23/x
  3. Step 3: Cross multiply
    863.87x = 1,192.07 × 569.23
  4. Step 4: Simplify right side
    863.87x = 678,557.25
  5. Step 5: Solve for x
    x = 678,557.25/863.87
  6. Step 6: Final answer
    x = 785.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.