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Finding the Fourth Proportional to 1,583.27, 2,375.00 and 609.37

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Solution

The fourth proportional to 1,583.27, 2,375.00 and 609.37 is: 914.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.27 : 2,375.00 = 609.37 : x
  2. Step 2: Convert to fraction form
    1,583.27/2,375.00 = 609.37/x
  3. Step 3: Cross multiply
    1,583.27x = 2,375.00 × 609.37
  4. Step 4: Simplify right side
    1,583.27x = 1,447,244.77
  5. Step 5: Solve for x
    x = 1,447,244.77/1,583.27
  6. Step 6: Final answer
    x = 914.09

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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.