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Finding the Fourth Proportional to 1,669.14, 2,503.85 and 499.07

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Solution

The fourth proportional to 1,669.14, 2,503.85 and 499.07 is: 748.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.14 : 2,503.85 = 499.07 : x
  2. Step 2: Convert to fraction form
    1,669.14/2,503.85 = 499.07/x
  3. Step 3: Cross multiply
    1,669.14x = 2,503.85 × 499.07
  4. Step 4: Simplify right side
    1,669.14x = 1,249,581.40
  5. Step 5: Solve for x
    x = 1,249,581.40/1,669.14
  6. Step 6: Final answer
    x = 748.64

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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.