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Finding the Fourth Proportional to 1,157.57, 1,736.61 and 427.15

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Solution

The fourth proportional to 1,157.57, 1,736.61 and 427.15 is: 640.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.57 : 1,736.61 = 427.15 : x
  2. Step 2: Convert to fraction form
    1,157.57/1,736.61 = 427.15/x
  3. Step 3: Cross multiply
    1,157.57x = 1,736.61 × 427.15
  4. Step 4: Simplify right side
    1,157.57x = 741,792.25
  5. Step 5: Solve for x
    x = 741,792.25/1,157.57
  6. Step 6: Final answer
    x = 640.82

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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.