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Finding the Fourth Proportional to 1,285.39, 1,928.07 and 311.50

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Solution

The fourth proportional to 1,285.39, 1,928.07 and 311.50 is: 467.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.39 : 1,928.07 = 311.50 : x
  2. Step 2: Convert to fraction form
    1,285.39/1,928.07 = 311.50/x
  3. Step 3: Cross multiply
    1,285.39x = 1,928.07 × 311.50
  4. Step 4: Simplify right side
    1,285.39x = 600,596.22
  5. Step 5: Solve for x
    x = 600,596.22/1,285.39
  6. Step 6: Final answer
    x = 467.25

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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.