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Finding the Fourth Proportional to 968.35, 1,454.31 and 506.44

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Solution

The fourth proportional to 968.35, 1,454.31 and 506.44 is: 760.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.35 : 1,454.31 = 506.44 : x
  2. Step 2: Convert to fraction form
    968.35/1,454.31 = 506.44/x
  3. Step 3: Cross multiply
    968.35x = 1,454.31 × 506.44
  4. Step 4: Simplify right side
    968.35x = 736,520.76
  5. Step 5: Solve for x
    x = 736,520.76/968.35
  6. Step 6: Final answer
    x = 760.59

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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.