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Finding the Fourth Proportional to 1,669.57, 2,504.41 and 573.92

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Solution

The fourth proportional to 1,669.57, 2,504.41 and 573.92 is: 860.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.57 : 2,504.41 = 573.92 : x
  2. Step 2: Convert to fraction form
    1,669.57/2,504.41 = 573.92/x
  3. Step 3: Cross multiply
    1,669.57x = 2,504.41 × 573.92
  4. Step 4: Simplify right side
    1,669.57x = 1,437,335.81
  5. Step 5: Solve for x
    x = 1,437,335.81/1,669.57
  6. Step 6: Final answer
    x = 860.90

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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.