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Finding the Fourth Proportional to 676.80, 932.84 and 536.66

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Solution

The fourth proportional to 676.80, 932.84 and 536.66 is: 739.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    676.80 : 932.84 = 536.66 : x
  2. Step 2: Convert to fraction form
    676.80/932.84 = 536.66/x
  3. Step 3: Cross multiply
    676.80x = 932.84 × 536.66
  4. Step 4: Simplify right side
    676.80x = 500,617.91
  5. Step 5: Solve for x
    x = 500,617.91/676.80
  6. Step 6: Final answer
    x = 739.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.