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Finding the Fourth Proportional to 1,082.91, 1,623.36 and 527.31

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Solution

The fourth proportional to 1,082.91, 1,623.36 and 527.31 is: 790.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.91 : 1,623.36 = 527.31 : x
  2. Step 2: Convert to fraction form
    1,082.91/1,623.36 = 527.31/x
  3. Step 3: Cross multiply
    1,082.91x = 1,623.36 × 527.31
  4. Step 4: Simplify right side
    1,082.91x = 856,013.96
  5. Step 5: Solve for x
    x = 856,013.96/1,082.91
  6. Step 6: Final answer
    x = 790.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.