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Finding the Fourth Proportional to 1,157.43, 1,736.98 and 454.74

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Solution

The fourth proportional to 1,157.43, 1,736.98 and 454.74 is: 682.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.43 : 1,736.98 = 454.74 : x
  2. Step 2: Convert to fraction form
    1,157.43/1,736.98 = 454.74/x
  3. Step 3: Cross multiply
    1,157.43x = 1,736.98 × 454.74
  4. Step 4: Simplify right side
    1,157.43x = 789,874.29
  5. Step 5: Solve for x
    x = 789,874.29/1,157.43
  6. Step 6: Final answer
    x = 682.44

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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.