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Finding the Fourth Proportional to 1,429.78, 2,144.97 and 492.81

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Solution

The fourth proportional to 1,429.78, 2,144.97 and 492.81 is: 739.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,429.78 : 2,144.97 = 492.81 : x
  2. Step 2: Convert to fraction form
    1,429.78/2,144.97 = 492.81/x
  3. Step 3: Cross multiply
    1,429.78x = 2,144.97 × 492.81
  4. Step 4: Simplify right side
    1,429.78x = 1,057,053.88
  5. Step 5: Solve for x
    x = 1,057,053.88/1,429.78
  6. Step 6: Final answer
    x = 739.31

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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.