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Finding the Fourth Proportional to 532.74, 796.68 and 506.82

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Solution

The fourth proportional to 532.74, 796.68 and 506.82 is: 757.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.74 : 796.68 = 506.82 : x
  2. Step 2: Convert to fraction form
    532.74/796.68 = 506.82/x
  3. Step 3: Cross multiply
    532.74x = 796.68 × 506.82
  4. Step 4: Simplify right side
    532.74x = 403,773.36
  5. Step 5: Solve for x
    x = 403,773.36/532.74
  6. Step 6: Final answer
    x = 757.92

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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.