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Finding the Fourth Proportional to 1,157.75, 1,736.21 and 335.81

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Solution

The fourth proportional to 1,157.75, 1,736.21 and 335.81 is: 503.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.75 : 1,736.21 = 335.81 : x
  2. Step 2: Convert to fraction form
    1,157.75/1,736.21 = 335.81/x
  3. Step 3: Cross multiply
    1,157.75x = 1,736.21 × 335.81
  4. Step 4: Simplify right side
    1,157.75x = 583,026.32
  5. Step 5: Solve for x
    x = 583,026.32/1,157.75
  6. Step 6: Final answer
    x = 503.59

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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.