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Finding the Fourth Proportional to 779.78, 1,071.29 and 631.97

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Solution

The fourth proportional to 779.78, 1,071.29 and 631.97 is: 868.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    779.78 : 1,071.29 = 631.97 : x
  2. Step 2: Convert to fraction form
    779.78/1,071.29 = 631.97/x
  3. Step 3: Cross multiply
    779.78x = 1,071.29 × 631.97
  4. Step 4: Simplify right side
    779.78x = 677,016.99
  5. Step 5: Solve for x
    x = 677,016.99/779.78
  6. Step 6: Final answer
    x = 868.22

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.