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Finding the Fourth Proportional to 863.94, 1,192.25 and 509.87

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Solution

The fourth proportional to 863.94, 1,192.25 and 509.87 is: 703.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.94 : 1,192.25 = 509.87 : x
  2. Step 2: Convert to fraction form
    863.94/1,192.25 = 509.87/x
  3. Step 3: Cross multiply
    863.94x = 1,192.25 × 509.87
  4. Step 4: Simplify right side
    863.94x = 607,892.51
  5. Step 5: Solve for x
    x = 607,892.51/863.94
  6. Step 6: Final answer
    x = 703.63

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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.