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Finding the Fourth Proportional to 1,311.54, 1,967.31 and 337.64

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Solution

The fourth proportional to 1,311.54, 1,967.31 and 337.64 is: 506.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.54 : 1,967.31 = 337.64 : x
  2. Step 2: Convert to fraction form
    1,311.54/1,967.31 = 337.64/x
  3. Step 3: Cross multiply
    1,311.54x = 1,967.31 × 337.64
  4. Step 4: Simplify right side
    1,311.54x = 664,250.26
  5. Step 5: Solve for x
    x = 664,250.26/1,311.54
  6. Step 6: Final answer
    x = 506.47

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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.