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Finding the Fourth Proportional to 1,157.29, 1,736.42 and 426.68

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Solution

The fourth proportional to 1,157.29, 1,736.42 and 426.68 is: 640.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.29 : 1,736.42 = 426.68 : x
  2. Step 2: Convert to fraction form
    1,157.29/1,736.42 = 426.68/x
  3. Step 3: Cross multiply
    1,157.29x = 1,736.42 × 426.68
  4. Step 4: Simplify right side
    1,157.29x = 740,897.89
  5. Step 5: Solve for x
    x = 740,897.89/1,157.29
  6. Step 6: Final answer
    x = 640.20

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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.