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Finding the Fourth Proportional to 1,157.43, 1,735.47 and 464.43

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Solution

The fourth proportional to 1,157.43, 1,735.47 and 464.43 is: 696.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.43 : 1,735.47 = 464.43 : x
  2. Step 2: Convert to fraction form
    1,157.43/1,735.47 = 464.43/x
  3. Step 3: Cross multiply
    1,157.43x = 1,735.47 × 464.43
  4. Step 4: Simplify right side
    1,157.43x = 806,004.33
  5. Step 5: Solve for x
    x = 806,004.33/1,157.43
  6. Step 6: Final answer
    x = 696.37

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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.