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Finding the Fourth Proportional to 1,082.25, 1,622.41 and 526.66

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Solution

The fourth proportional to 1,082.25, 1,622.41 and 526.66 is: 789.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.25 : 1,622.41 = 526.66 : x
  2. Step 2: Convert to fraction form
    1,082.25/1,622.41 = 526.66/x
  3. Step 3: Cross multiply
    1,082.25x = 1,622.41 × 526.66
  4. Step 4: Simplify right side
    1,082.25x = 854,456.04
  5. Step 5: Solve for x
    x = 854,456.04/1,082.25
  6. Step 6: Final answer
    x = 789.52

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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.