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Finding the Fourth Proportional to 1,583.19, 2,375.25 and 487.72

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Solution

The fourth proportional to 1,583.19, 2,375.25 and 487.72 is: 731.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,583.19 : 2,375.25 = 487.72 : x
  2. Step 2: Convert to fraction form
    1,583.19/2,375.25 = 487.72/x
  3. Step 3: Cross multiply
    1,583.19x = 2,375.25 × 487.72
  4. Step 4: Simplify right side
    1,583.19x = 1,158,450.99
  5. Step 5: Solve for x
    x = 1,158,450.99/1,583.19
  6. Step 6: Final answer
    x = 731.72

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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.