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Finding the Fourth Proportional to 1,310.94, 1,967.04 and 580.73

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Solution

The fourth proportional to 1,310.94, 1,967.04 and 580.73 is: 871.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.94 : 1,967.04 = 580.73 : x
  2. Step 2: Convert to fraction form
    1,310.94/1,967.04 = 580.73/x
  3. Step 3: Cross multiply
    1,310.94x = 1,967.04 × 580.73
  4. Step 4: Simplify right side
    1,310.94x = 1,142,309.30
  5. Step 5: Solve for x
    x = 1,142,309.30/1,310.94
  6. Step 6: Final answer
    x = 871.37

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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.