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Finding the Fourth Proportional to 1,311.68, 1,967.42 and 434.09

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Solution

The fourth proportional to 1,311.68, 1,967.42 and 434.09 is: 651.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,311.68 : 1,967.42 = 434.09 : x
  2. Step 2: Convert to fraction form
    1,311.68/1,967.42 = 434.09/x
  3. Step 3: Cross multiply
    1,311.68x = 1,967.42 × 434.09
  4. Step 4: Simplify right side
    1,311.68x = 854,025.34
  5. Step 5: Solve for x
    x = 854,025.34/1,311.68
  6. Step 6: Final answer
    x = 651.10

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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.