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Finding the Fourth Proportional to 1,669.32, 2,503.89 and 499.33

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Solution

The fourth proportional to 1,669.32, 2,503.89 and 499.33 is: 748.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.32 : 2,503.89 = 499.33 : x
  2. Step 2: Convert to fraction form
    1,669.32/2,503.89 = 499.33/x
  3. Step 3: Cross multiply
    1,669.32x = 2,503.89 × 499.33
  4. Step 4: Simplify right side
    1,669.32x = 1,250,269.12
  5. Step 5: Solve for x
    x = 1,250,269.12/1,669.32
  6. Step 6: Final answer
    x = 748.97

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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.