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Finding the Fourth Proportional to 1,311.41, 1,967.12 and 581.51

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Solution

The fourth proportional to 1,311.41, 1,967.12 and 581.51 is: 872.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.41 : 1,967.12 = 581.51 : x
  2. Step 2: Convert to fraction form
    1,311.41/1,967.12 = 581.51/x
  3. Step 3: Cross multiply
    1,311.41x = 1,967.12 × 581.51
  4. Step 4: Simplify right side
    1,311.41x = 1,143,897.04
  5. Step 5: Solve for x
    x = 1,143,897.04/1,311.41
  6. Step 6: Final answer
    x = 872.27

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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.