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Finding the Fourth Proportional to 1,311.40, 1,967.10 and 580.81

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Solution

The fourth proportional to 1,311.40, 1,967.10 and 580.81 is: 871.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.40 : 1,967.10 = 580.81 : x
  2. Step 2: Convert to fraction form
    1,311.40/1,967.10 = 580.81/x
  3. Step 3: Cross multiply
    1,311.40x = 1,967.10 × 580.81
  4. Step 4: Simplify right side
    1,311.40x = 1,142,511.35
  5. Step 5: Solve for x
    x = 1,142,511.35/1,311.40
  6. Step 6: Final answer
    x = 871.22

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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.