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Finding the Fourth Proportional to 1,521.29, 2,099.38 and 822.67

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Solution

The fourth proportional to 1,521.29, 2,099.38 and 822.67 is: 1,135.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,521.29 : 2,099.38 = 822.67 : x
  2. Step 2: Convert to fraction form
    1,521.29/2,099.38 = 822.67/x
  3. Step 3: Cross multiply
    1,521.29x = 2,099.38 × 822.67
  4. Step 4: Simplify right side
    1,521.29x = 1,727,082.33
  5. Step 5: Solve for x
    x = 1,727,082.33/1,521.29
  6. Step 6: Final answer
    x = 1,135.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.