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Finding the Fourth Proportional to 1,157.38, 1,736.24 and 335.66

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Solution

The fourth proportional to 1,157.38, 1,736.24 and 335.66 is: 503.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.38 : 1,736.24 = 335.66 : x
  2. Step 2: Convert to fraction form
    1,157.38/1,736.24 = 335.66/x
  3. Step 3: Cross multiply
    1,157.38x = 1,736.24 × 335.66
  4. Step 4: Simplify right side
    1,157.38x = 582,775.96
  5. Step 5: Solve for x
    x = 582,775.96/1,157.38
  6. Step 6: Final answer
    x = 503.53

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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.