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Finding the Fourth Proportional to 1,285.41, 1,927.31 and 544.65

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Solution

The fourth proportional to 1,285.41, 1,927.31 and 544.65 is: 816.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.41 : 1,927.31 = 544.65 : x
  2. Step 2: Convert to fraction form
    1,285.41/1,927.31 = 544.65/x
  3. Step 3: Cross multiply
    1,285.41x = 1,927.31 × 544.65
  4. Step 4: Simplify right side
    1,285.41x = 1,049,699.44
  5. Step 5: Solve for x
    x = 1,049,699.44/1,285.41
  6. Step 6: Final answer
    x = 816.62

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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.