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Finding the Fourth Proportional to 1,082.42, 1,623.68 and 527.64

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Solution

The fourth proportional to 1,082.42, 1,623.68 and 527.64 is: 791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.42 : 1,623.68 = 527.64 : x
  2. Step 2: Convert to fraction form
    1,082.42/1,623.68 = 527.64/x
  3. Step 3: Cross multiply
    1,082.42x = 1,623.68 × 527.64
  4. Step 4: Simplify right side
    1,082.42x = 856,711.77
  5. Step 5: Solve for x
    x = 856,711.77/1,082.42
  6. Step 6: Final answer
    x = 791.48

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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.