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Finding the Fourth Proportional to 1,157.88, 1,736.80 and 280.38

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Solution

The fourth proportional to 1,157.88, 1,736.80 and 280.38 is: 420.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.88 : 1,736.80 = 280.38 : x
  2. Step 2: Convert to fraction form
    1,157.88/1,736.80 = 280.38/x
  3. Step 3: Cross multiply
    1,157.88x = 1,736.80 × 280.38
  4. Step 4: Simplify right side
    1,157.88x = 486,963.98
  5. Step 5: Solve for x
    x = 486,963.98/1,157.88
  6. Step 6: Final answer
    x = 420.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.