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Finding the Fourth Proportional to 1,669.60, 2,504.34 and 515.35

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Solution

The fourth proportional to 1,669.60, 2,504.34 and 515.35 is: 773.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.60 : 2,504.34 = 515.35 : x
  2. Step 2: Convert to fraction form
    1,669.60/2,504.34 = 515.35/x
  3. Step 3: Cross multiply
    1,669.60x = 2,504.34 × 515.35
  4. Step 4: Simplify right side
    1,669.60x = 1,290,611.62
  5. Step 5: Solve for x
    x = 1,290,611.62/1,669.60
  6. Step 6: Final answer
    x = 773.01

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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.