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Finding the Fourth Proportional to 926.82, 1,279.14 and 577.32

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Solution

The fourth proportional to 926.82, 1,279.14 and 577.32 is: 796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.82 : 1,279.14 = 577.32 : x
  2. Step 2: Convert to fraction form
    926.82/1,279.14 = 577.32/x
  3. Step 3: Cross multiply
    926.82x = 1,279.14 × 577.32
  4. Step 4: Simplify right side
    926.82x = 738,473.10
  5. Step 5: Solve for x
    x = 738,473.10/926.82
  6. Step 6: Final answer
    x = 796.78

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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.