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Finding the Fourth Proportional to 925.98, 1,278.27 and 577.14

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Solution

The fourth proportional to 925.98, 1,278.27 and 577.14 is: 796.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.98 : 1,278.27 = 577.14 : x
  2. Step 2: Convert to fraction form
    925.98/1,278.27 = 577.14/x
  3. Step 3: Cross multiply
    925.98x = 1,278.27 × 577.14
  4. Step 4: Simplify right side
    925.98x = 737,740.75
  5. Step 5: Solve for x
    x = 737,740.75/925.98
  6. Step 6: Final answer
    x = 796.71

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1.5x scale

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.