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Finding the Fourth Proportional to 1,092.38, 1,507.79 and 743.06

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Solution

The fourth proportional to 1,092.38, 1,507.79 and 743.06 is: 1,025.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.38 : 1,507.79 = 743.06 : x
  2. Step 2: Convert to fraction form
    1,092.38/1,507.79 = 743.06/x
  3. Step 3: Cross multiply
    1,092.38x = 1,507.79 × 743.06
  4. Step 4: Simplify right side
    1,092.38x = 1,120,384.06
  5. Step 5: Solve for x
    x = 1,120,384.06/1,092.38
  6. Step 6: Final answer
    x = 1,025.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.