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Finding the Fourth Proportional to 863.99, 1,192.28 and 509.93

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Solution

The fourth proportional to 863.99, 1,192.28 and 509.93 is: 703.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.99 : 1,192.28 = 509.93 : x
  2. Step 2: Convert to fraction form
    863.99/1,192.28 = 509.93/x
  3. Step 3: Cross multiply
    863.99x = 1,192.28 × 509.93
  4. Step 4: Simplify right side
    863.99x = 607,976.79
  5. Step 5: Solve for x
    x = 607,976.79/863.99
  6. Step 6: Final answer
    x = 703.68

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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.