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Finding the Fourth Proportional to 925.12, 1,387.64 and 275.83

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Solution

The fourth proportional to 925.12, 1,387.64 and 275.83 is: 413.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.12 : 1,387.64 = 275.83 : x
  2. Step 2: Convert to fraction form
    925.12/1,387.64 = 275.83/x
  3. Step 3: Cross multiply
    925.12x = 1,387.64 × 275.83
  4. Step 4: Simplify right side
    925.12x = 382,751.36
  5. Step 5: Solve for x
    x = 382,751.36/925.12
  6. Step 6: Final answer
    x = 413.73

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Why These Related Problems?

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