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Finding the Fourth Proportional to 1,285.27, 1,927.60 and 505.44

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Solution

The fourth proportional to 1,285.27, 1,927.60 and 505.44 is: 758.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.27 : 1,927.60 = 505.44 : x
  2. Step 2: Convert to fraction form
    1,285.27/1,927.60 = 505.44/x
  3. Step 3: Cross multiply
    1,285.27x = 1,927.60 × 505.44
  4. Step 4: Simplify right side
    1,285.27x = 974,284.88
  5. Step 5: Solve for x
    x = 974,284.88/1,285.27
  6. Step 6: Final answer
    x = 758.04

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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.