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Finding the Fourth Proportional to 1,149.07, 1,723.47 and 499.27

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Solution

The fourth proportional to 1,149.07, 1,723.47 and 499.27 is: 748.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.07 : 1,723.47 = 499.27 : x
  2. Step 2: Convert to fraction form
    1,149.07/1,723.47 = 499.27/x
  3. Step 3: Cross multiply
    1,149.07x = 1,723.47 × 499.27
  4. Step 4: Simplify right side
    1,149.07x = 860,476.87
  5. Step 5: Solve for x
    x = 860,476.87/1,149.07
  6. Step 6: Final answer
    x = 748.85

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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.