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Finding the Fourth Proportional to 1,722.72, 2,584.02 and 568.46

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Solution

The fourth proportional to 1,722.72, 2,584.02 and 568.46 is: 852.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722.72 : 2,584.02 = 568.46 : x
  2. Step 2: Convert to fraction form
    1,722.72/2,584.02 = 568.46/x
  3. Step 3: Cross multiply
    1,722.72x = 2,584.02 × 568.46
  4. Step 4: Simplify right side
    1,722.72x = 1,468,912.01
  5. Step 5: Solve for x
    x = 1,468,912.01/1,722.72
  6. Step 6: Final answer
    x = 852.67

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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.