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Finding the Fourth Proportional to 1,049.72, 1,576.11 and 588.39

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Solution

The fourth proportional to 1,049.72, 1,576.11 and 588.39 is: 883.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.72 : 1,576.11 = 588.39 : x
  2. Step 2: Convert to fraction form
    1,049.72/1,576.11 = 588.39/x
  3. Step 3: Cross multiply
    1,049.72x = 1,576.11 × 588.39
  4. Step 4: Simplify right side
    1,049.72x = 927,367.36
  5. Step 5: Solve for x
    x = 927,367.36/1,049.72
  6. Step 6: Final answer
    x = 883.45

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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.