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Finding the Fourth Proportional to 968.27, 1,454.95 and 529.81

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Solution

The fourth proportional to 968.27, 1,454.95 and 529.81 is: 796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.27 : 1,454.95 = 529.81 : x
  2. Step 2: Convert to fraction form
    968.27/1,454.95 = 529.81/x
  3. Step 3: Cross multiply
    968.27x = 1,454.95 × 529.81
  4. Step 4: Simplify right side
    968.27x = 770,847.06
  5. Step 5: Solve for x
    x = 770,847.06/968.27
  6. Step 6: Final answer
    x = 796.11

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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.