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Finding the Fourth Proportional to 863.73, 1,192.17 and 509.69

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Solution

The fourth proportional to 863.73, 1,192.17 and 509.69 is: 703.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.73 : 1,192.17 = 509.69 : x
  2. Step 2: Convert to fraction form
    863.73/1,192.17 = 509.69/x
  3. Step 3: Cross multiply
    863.73x = 1,192.17 × 509.69
  4. Step 4: Simplify right side
    863.73x = 607,637.13
  5. Step 5: Solve for x
    x = 607,637.13/863.73
  6. Step 6: Final answer
    x = 703.50

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