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Finding the Fourth Proportional to 925.15, 1,387.74 and 275.89

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Solution

The fourth proportional to 925.15, 1,387.74 and 275.89 is: 413.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.15 : 1,387.74 = 275.89 : x
  2. Step 2: Convert to fraction form
    925.15/1,387.74 = 275.89/x
  3. Step 3: Cross multiply
    925.15x = 1,387.74 × 275.89
  4. Step 4: Simplify right side
    925.15x = 382,863.59
  5. Step 5: Solve for x
    x = 382,863.59/925.15
  6. Step 6: Final answer
    x = 413.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.