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Finding the Fourth Proportional to 1,669.70, 2,504.79 and 573.77

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Solution

The fourth proportional to 1,669.70, 2,504.79 and 573.77 is: 860.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,669.70 : 2,504.79 = 573.77 : x
  2. Step 2: Convert to fraction form
    1,669.70/2,504.79 = 573.77/x
  3. Step 3: Cross multiply
    1,669.70x = 2,504.79 × 573.77
  4. Step 4: Simplify right side
    1,669.70x = 1,437,179.62
  5. Step 5: Solve for x
    x = 1,437,179.62/1,669.70
  6. Step 6: Final answer
    x = 860.74

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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.