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Finding the Fourth Proportional to 863.34, 1,295.37 and 478.86

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Solution

The fourth proportional to 863.34, 1,295.37 and 478.86 is: 718.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.34 : 1,295.37 = 478.86 : x
  2. Step 2: Convert to fraction form
    863.34/1,295.37 = 478.86/x
  3. Step 3: Cross multiply
    863.34x = 1,295.37 × 478.86
  4. Step 4: Simplify right side
    863.34x = 620,300.88
  5. Step 5: Solve for x
    x = 620,300.88/863.34
  6. Step 6: Final answer
    x = 718.49

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Why These Related Problems?

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