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Finding the Fourth Proportional to 1,157.53, 1,736.29 and 464.38

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Solution

The fourth proportional to 1,157.53, 1,736.29 and 464.38 is: 696.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.53 : 1,736.29 = 464.38 : x
  2. Step 2: Convert to fraction form
    1,157.53/1,736.29 = 464.38/x
  3. Step 3: Cross multiply
    1,157.53x = 1,736.29 × 464.38
  4. Step 4: Simplify right side
    1,157.53x = 806,298.35
  5. Step 5: Solve for x
    x = 806,298.35/1,157.53
  6. Step 6: Final answer
    x = 696.57

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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.