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Finding the Fourth Proportional to 642.12, 962.94 and 506.76

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Solution

The fourth proportional to 642.12, 962.94 and 506.76 is: 759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.12 : 962.94 = 506.76 : x
  2. Step 2: Convert to fraction form
    642.12/962.94 = 506.76/x
  3. Step 3: Cross multiply
    642.12x = 962.94 × 506.76
  4. Step 4: Simplify right side
    642.12x = 487,979.47
  5. Step 5: Solve for x
    x = 487,979.47/642.12
  6. Step 6: Final answer
    x = 759.95

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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.