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Finding the Fourth Proportional to 925.43, 1,387.80 and 276.01

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Solution

The fourth proportional to 925.43, 1,387.80 and 276.01 is: 413.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    925.43 : 1,387.80 = 276.01 : x
  2. Step 2: Convert to fraction form
    925.43/1,387.80 = 276.01/x
  3. Step 3: Cross multiply
    925.43x = 1,387.80 × 276.01
  4. Step 4: Simplify right side
    925.43x = 383,043.21
  5. Step 5: Solve for x
    x = 383,043.21/925.43
  6. Step 6: Final answer
    x = 413.91

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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.