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Finding the Fourth Proportional to 677.38, 935.31 and 519.76

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Solution

The fourth proportional to 677.38, 935.31 and 519.76 is: 717.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.38 : 935.31 = 519.76 : x
  2. Step 2: Convert to fraction form
    677.38/935.31 = 519.76/x
  3. Step 3: Cross multiply
    677.38x = 935.31 × 519.76
  4. Step 4: Simplify right side
    677.38x = 486,141.60
  5. Step 5: Solve for x
    x = 486,141.60/677.38
  6. Step 6: Final answer
    x = 717.68

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Double scale
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1.5x scale

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.