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Finding the Fourth Proportional to 1,082.38, 1,623.57 and 505.12

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Solution

The fourth proportional to 1,082.38, 1,623.57 and 505.12 is: 757.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.38 : 1,623.57 = 505.12 : x
  2. Step 2: Convert to fraction form
    1,082.38/1,623.57 = 505.12/x
  3. Step 3: Cross multiply
    1,082.38x = 1,623.57 × 505.12
  4. Step 4: Simplify right side
    1,082.38x = 820,097.68
  5. Step 5: Solve for x
    x = 820,097.68/1,082.38
  6. Step 6: Final answer
    x = 757.68

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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.