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Finding the Fourth Proportional to 1,157.65, 1,736.59 and 427.13

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Solution

The fourth proportional to 1,157.65, 1,736.59 and 427.13 is: 640.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.65 : 1,736.59 = 427.13 : x
  2. Step 2: Convert to fraction form
    1,157.65/1,736.59 = 427.13/x
  3. Step 3: Cross multiply
    1,157.65x = 1,736.59 × 427.13
  4. Step 4: Simplify right side
    1,157.65x = 741,749.69
  5. Step 5: Solve for x
    x = 741,749.69/1,157.65
  6. Step 6: Final answer
    x = 640.74

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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.