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Finding the Fourth Proportional to 1,157.89, 1,736.66 and 541.54

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Solution

The fourth proportional to 1,157.89, 1,736.66 and 541.54 is: 812.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.89 : 1,736.66 = 541.54 : x
  2. Step 2: Convert to fraction form
    1,157.89/1,736.66 = 541.54/x
  3. Step 3: Cross multiply
    1,157.89x = 1,736.66 × 541.54
  4. Step 4: Simplify right side
    1,157.89x = 940,468.15
  5. Step 5: Solve for x
    x = 940,468.15/1,157.89
  6. Step 6: Final answer
    x = 812.23

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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.