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Finding the Fourth Proportional to 1,050.94, 1,576.41 and 281.44

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Solution

The fourth proportional to 1,050.94, 1,576.41 and 281.44 is: 422.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,050.94 : 1,576.41 = 281.44 : x
  2. Step 2: Convert to fraction form
    1,050.94/1,576.41 = 281.44/x
  3. Step 3: Cross multiply
    1,050.94x = 1,576.41 × 281.44
  4. Step 4: Simplify right side
    1,050.94x = 443,664.83
  5. Step 5: Solve for x
    x = 443,664.83/1,050.94
  6. Step 6: Final answer
    x = 422.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.