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Finding the Fourth Proportional to 1,049.96, 1,576.16 and 563.96

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Solution

The fourth proportional to 1,049.96, 1,576.16 and 563.96 is: 846.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.96 : 1,576.16 = 563.96 : x
  2. Step 2: Convert to fraction form
    1,049.96/1,576.16 = 563.96/x
  3. Step 3: Cross multiply
    1,049.96x = 1,576.16 × 563.96
  4. Step 4: Simplify right side
    1,049.96x = 888,880.49
  5. Step 5: Solve for x
    x = 888,880.49/1,049.96
  6. Step 6: Final answer
    x = 846.59

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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.