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Finding the Fourth Proportional to 925.94, 1,278.16 and 571.93

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Solution

The fourth proportional to 925.94, 1,278.16 and 571.93 is: 789.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.94 : 1,278.16 = 571.93 : x
  2. Step 2: Convert to fraction form
    925.94/1,278.16 = 571.93/x
  3. Step 3: Cross multiply
    925.94x = 1,278.16 × 571.93
  4. Step 4: Simplify right side
    925.94x = 731,013.42
  5. Step 5: Solve for x
    x = 731,013.42/925.94
  6. Step 6: Final answer
    x = 789.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.