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Finding the Fourth Proportional to 968.17, 1,453.49 and 506.27

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Solution

The fourth proportional to 968.17, 1,453.49 and 506.27 is: 760.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.17 : 1,453.49 = 506.27 : x
  2. Step 2: Convert to fraction form
    968.17/1,453.49 = 506.27/x
  3. Step 3: Cross multiply
    968.17x = 1,453.49 × 506.27
  4. Step 4: Simplify right side
    968.17x = 735,858.38
  5. Step 5: Solve for x
    x = 735,858.38/968.17
  6. Step 6: Final answer
    x = 760.05

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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.