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Finding the Fourth Proportional to 1,157.22, 1,735.11 and 723.42

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Solution

The fourth proportional to 1,157.22, 1,735.11 and 723.42 is: 1,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.22 : 1,735.11 = 723.42 : x
  2. Step 2: Convert to fraction form
    1,157.22/1,735.11 = 723.42/x
  3. Step 3: Cross multiply
    1,157.22x = 1,735.11 × 723.42
  4. Step 4: Simplify right side
    1,157.22x = 1,255,213.28
  5. Step 5: Solve for x
    x = 1,255,213.28/1,157.22
  6. Step 6: Final answer
    x = 1,084.68

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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.