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Finding the Fourth Proportional to 1,400.49, 2,099.81 and 784.26

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Solution

The fourth proportional to 1,400.49, 2,099.81 and 784.26 is: 1,175.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,400.49 : 2,099.81 = 784.26 : x
  2. Step 2: Convert to fraction form
    1,400.49/2,099.81 = 784.26/x
  3. Step 3: Cross multiply
    1,400.49x = 2,099.81 × 784.26
  4. Step 4: Simplify right side
    1,400.49x = 1,646,796.99
  5. Step 5: Solve for x
    x = 1,646,796.99/1,400.49
  6. Step 6: Final answer
    x = 1,175.87

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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.