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Finding the Fourth Proportional to 1,082.61, 1,623.73 and 352.02

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Solution

The fourth proportional to 1,082.61, 1,623.73 and 352.02 is: 527.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.61 : 1,623.73 = 352.02 : x
  2. Step 2: Convert to fraction form
    1,082.61/1,623.73 = 352.02/x
  3. Step 3: Cross multiply
    1,082.61x = 1,623.73 × 352.02
  4. Step 4: Simplify right side
    1,082.61x = 571,585.43
  5. Step 5: Solve for x
    x = 571,585.43/1,082.61
  6. Step 6: Final answer
    x = 527.97

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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.