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Finding the Fourth Proportional to 1,669.48, 2,503.76 and 499.43

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Solution

The fourth proportional to 1,669.48, 2,503.76 and 499.43 is: 749.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.48 : 2,503.76 = 499.43 : x
  2. Step 2: Convert to fraction form
    1,669.48/2,503.76 = 499.43/x
  3. Step 3: Cross multiply
    1,669.48x = 2,503.76 × 499.43
  4. Step 4: Simplify right side
    1,669.48x = 1,250,450.36
  5. Step 5: Solve for x
    x = 1,250,450.36/1,669.48
  6. Step 6: Final answer
    x = 749.01

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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.