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Finding the Fourth Proportional to 677.28, 932.40 and 605.76

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Solution

The fourth proportional to 677.28, 932.40 and 605.76 is: 833.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    677.28 : 932.40 = 605.76 : x
  2. Step 2: Convert to fraction form
    677.28/932.40 = 605.76/x
  3. Step 3: Cross multiply
    677.28x = 932.40 × 605.76
  4. Step 4: Simplify right side
    677.28x = 564,810.62
  5. Step 5: Solve for x
    x = 564,810.62/677.28
  6. Step 6: Final answer
    x = 833.94

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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.