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Finding the Fourth Proportional to 968.46, 1,451.34 and 529.71

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Solution

The fourth proportional to 968.46, 1,451.34 and 529.71 is: 793.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.46 : 1,451.34 = 529.71 : x
  2. Step 2: Convert to fraction form
    968.46/1,451.34 = 529.71/x
  3. Step 3: Cross multiply
    968.46x = 1,451.34 × 529.71
  4. Step 4: Simplify right side
    968.46x = 768,789.31
  5. Step 5: Solve for x
    x = 768,789.31/968.46
  6. Step 6: Final answer
    x = 793.83

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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.