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Finding the Fourth Proportional to 1,157.24, 1,736.07 and 426.83

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Solution

The fourth proportional to 1,157.24, 1,736.07 and 426.83 is: 640.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.24 : 1,736.07 = 426.83 : x
  2. Step 2: Convert to fraction form
    1,157.24/1,736.07 = 426.83/x
  3. Step 3: Cross multiply
    1,157.24x = 1,736.07 × 426.83
  4. Step 4: Simplify right side
    1,157.24x = 740,996.48
  5. Step 5: Solve for x
    x = 740,996.48/1,157.24
  6. Step 6: Final answer
    x = 640.31

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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.