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Finding the Fourth Proportional to 926.76, 1,278.93 and 577.38

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Solution

The fourth proportional to 926.76, 1,278.93 and 577.38 is: 796.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.76 : 1,278.93 = 577.38 : x
  2. Step 2: Convert to fraction form
    926.76/1,278.93 = 577.38/x
  3. Step 3: Cross multiply
    926.76x = 1,278.93 × 577.38
  4. Step 4: Simplify right side
    926.76x = 738,422.21
  5. Step 5: Solve for x
    x = 738,422.21/926.76
  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.