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Finding the Fourth Proportional to 926.24, 1,278.06 and 577.40

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Solution

The fourth proportional to 926.24, 1,278.06 and 577.40 is: 796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    926.24 : 1,278.06 = 577.40 : x
  2. Step 2: Convert to fraction form
    926.24/1,278.06 = 577.40/x
  3. Step 3: Cross multiply
    926.24x = 1,278.06 × 577.40
  4. Step 4: Simplify right side
    926.24x = 737,951.84
  5. Step 5: Solve for x
    x = 737,951.84/926.24
  6. Step 6: Final answer
    x = 796.72

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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.