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Finding the Fourth Proportional to 1,343.14, 2,014.92 and 649.69

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Solution

The fourth proportional to 1,343.14, 2,014.92 and 649.69 is: 974.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,343.14 : 2,014.92 = 649.69 : x
  2. Step 2: Convert to fraction form
    1,343.14/2,014.92 = 649.69/x
  3. Step 3: Cross multiply
    1,343.14x = 2,014.92 × 649.69
  4. Step 4: Simplify right side
    1,343.14x = 1,309,073.37
  5. Step 5: Solve for x
    x = 1,309,073.37/1,343.14
  6. Step 6: Final answer
    x = 974.64

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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.