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Finding the Fourth Proportional to 1,082.34, 1,622.95 and 351.82

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Solution

The fourth proportional to 1,082.34, 1,622.95 and 351.82 is: 527.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.34 : 1,622.95 = 351.82 : x
  2. Step 2: Convert to fraction form
    1,082.34/1,622.95 = 351.82/x
  3. Step 3: Cross multiply
    1,082.34x = 1,622.95 × 351.82
  4. Step 4: Simplify right side
    1,082.34x = 570,986.27
  5. Step 5: Solve for x
    x = 570,986.27/1,082.34
  6. Step 6: Final answer
    x = 527.55

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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.