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Finding the Fourth Proportional to 863.52, 1,297.28 and 517.76

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Solution

The fourth proportional to 863.52, 1,297.28 and 517.76 is: 777.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.52 : 1,297.28 = 517.76 : x
  2. Step 2: Convert to fraction form
    863.52/1,297.28 = 517.76/x
  3. Step 3: Cross multiply
    863.52x = 1,297.28 × 517.76
  4. Step 4: Simplify right side
    863.52x = 671,679.69
  5. Step 5: Solve for x
    x = 671,679.69/863.52
  6. Step 6: Final answer
    x = 777.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.