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Finding the Fourth Proportional to 1,052.96, 1,576.26 and 723.20

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Solution

The fourth proportional to 1,052.96, 1,576.26 and 723.20 is: 1,082.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052.96 : 1,576.26 = 723.20 : x
  2. Step 2: Convert to fraction form
    1,052.96/1,576.26 = 723.20/x
  3. Step 3: Cross multiply
    1,052.96x = 1,576.26 × 723.20
  4. Step 4: Simplify right side
    1,052.96x = 1,139,951.23
  5. Step 5: Solve for x
    x = 1,139,951.23/1,052.96
  6. Step 6: Final answer
    x = 1,082.62

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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.