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Finding the Fourth Proportional to 1,285.86, 1,928.80 and 311.96

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Solution

The fourth proportional to 1,285.86, 1,928.80 and 311.96 is: 467.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.86 : 1,928.80 = 311.96 : x
  2. Step 2: Convert to fraction form
    1,285.86/1,928.80 = 311.96/x
  3. Step 3: Cross multiply
    1,285.86x = 1,928.80 × 311.96
  4. Step 4: Simplify right side
    1,285.86x = 601,712.49
  5. Step 5: Solve for x
    x = 601,712.49/1,285.86
  6. Step 6: Final answer
    x = 467.95

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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.