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Finding the Fourth Proportional to 968.00, 1,451.71 and 274.73

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Solution

The fourth proportional to 968.00, 1,451.71 and 274.73 is: 412.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.00 : 1,451.71 = 274.73 : x
  2. Step 2: Convert to fraction form
    968.00/1,451.71 = 274.73/x
  3. Step 3: Cross multiply
    968.00x = 1,451.71 × 274.73
  4. Step 4: Simplify right side
    968.00x = 398,826.23
  5. Step 5: Solve for x
    x = 398,826.23/968.00
  6. Step 6: Final answer
    x = 412.01

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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.