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Finding the Fourth Proportional to 1,157.51, 1,736.07 and 335.70

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Solution

The fourth proportional to 1,157.51, 1,736.07 and 335.70 is: 503.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.51 : 1,736.07 = 335.70 : x
  2. Step 2: Convert to fraction form
    1,157.51/1,736.07 = 335.70/x
  3. Step 3: Cross multiply
    1,157.51x = 1,736.07 × 335.70
  4. Step 4: Simplify right side
    1,157.51x = 582,797.44
  5. Step 5: Solve for x
    x = 582,797.44/1,157.51
  6. Step 6: Final answer
    x = 503.49

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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.