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Finding the Fourth Proportional to 779.97, 1,171.78 and 670.62

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Solution

The fourth proportional to 779.97, 1,171.78 and 670.62 is: 1,007.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.97 : 1,171.78 = 670.62 : x
  2. Step 2: Convert to fraction form
    779.97/1,171.78 = 670.62/x
  3. Step 3: Cross multiply
    779.97x = 1,171.78 × 670.62
  4. Step 4: Simplify right side
    779.97x = 785,815.75
  5. Step 5: Solve for x
    x = 785,815.75/779.97
  6. Step 6: Final answer
    x = 1,007.49

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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.