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Finding the Fourth Proportional to 1,157.48, 1,735.23 and 464.66

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Solution

The fourth proportional to 1,157.48, 1,735.23 and 464.66 is: 696.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.48 : 1,735.23 = 464.66 : x
  2. Step 2: Convert to fraction form
    1,157.48/1,735.23 = 464.66/x
  3. Step 3: Cross multiply
    1,157.48x = 1,735.23 × 464.66
  4. Step 4: Simplify right side
    1,157.48x = 806,291.97
  5. Step 5: Solve for x
    x = 806,291.97/1,157.48
  6. Step 6: Final answer
    x = 696.59

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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.