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Finding the Fourth Proportional to 1,157.55, 1,735.92 and 464.46

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Solution

The fourth proportional to 1,157.55, 1,735.92 and 464.46 is: 696.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.55 : 1,735.92 = 464.46 : x
  2. Step 2: Convert to fraction form
    1,157.55/1,735.92 = 464.46/x
  3. Step 3: Cross multiply
    1,157.55x = 1,735.92 × 464.46
  4. Step 4: Simplify right side
    1,157.55x = 806,265.40
  5. Step 5: Solve for x
    x = 806,265.40/1,157.55
  6. Step 6: Final answer
    x = 696.53

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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.