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Finding the Fourth Proportional to 1,157.92, 1,736.79 and 336.20

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Solution

The fourth proportional to 1,157.92, 1,736.79 and 336.20 is: 504.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.92 : 1,736.79 = 336.20 : x
  2. Step 2: Convert to fraction form
    1,157.92/1,736.79 = 336.20/x
  3. Step 3: Cross multiply
    1,157.92x = 1,736.79 × 336.20
  4. Step 4: Simplify right side
    1,157.92x = 583,910.51
  5. Step 5: Solve for x
    x = 583,910.51/1,157.92
  6. Step 6: Final answer
    x = 504.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.