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Finding the Fourth Proportional to 1,669.03, 2,503.51 and 499.03

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Solution

The fourth proportional to 1,669.03, 2,503.51 and 499.03 is: 748.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.03 : 2,503.51 = 499.03 : x
  2. Step 2: Convert to fraction form
    1,669.03/2,503.51 = 499.03/x
  3. Step 3: Cross multiply
    1,669.03x = 2,503.51 × 499.03
  4. Step 4: Simplify right side
    1,669.03x = 1,249,331.61
  5. Step 5: Solve for x
    x = 1,249,331.61/1,669.03
  6. Step 6: Final answer
    x = 748.54

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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.