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Finding the Fourth Proportional to 1,157.27, 1,735.53 and 335.31

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Solution

The fourth proportional to 1,157.27, 1,735.53 and 335.31 is: 502.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.27 : 1,735.53 = 335.31 : x
  2. Step 2: Convert to fraction form
    1,157.27/1,735.53 = 335.31/x
  3. Step 3: Cross multiply
    1,157.27x = 1,735.53 × 335.31
  4. Step 4: Simplify right side
    1,157.27x = 581,940.56
  5. Step 5: Solve for x
    x = 581,940.56/1,157.27
  6. Step 6: Final answer
    x = 502.86

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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.