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Finding the Fourth Proportional to 1,149.05, 1,723.26 and 499.63

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Solution

The fourth proportional to 1,149.05, 1,723.26 and 499.63 is: 749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.05 : 1,723.26 = 499.63 : x
  2. Step 2: Convert to fraction form
    1,149.05/1,723.26 = 499.63/x
  3. Step 3: Cross multiply
    1,149.05x = 1,723.26 × 499.63
  4. Step 4: Simplify right side
    1,149.05x = 860,992.39
  5. Step 5: Solve for x
    x = 860,992.39/1,149.05
  6. Step 6: Final answer
    x = 749.31

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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.