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Finding the Fourth Proportional to 1,082.96, 1,624.27 and 352.43

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Solution

The fourth proportional to 1,082.96, 1,624.27 and 352.43 is: 528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.96 : 1,624.27 = 352.43 : x
  2. Step 2: Convert to fraction form
    1,082.96/1,624.27 = 352.43/x
  3. Step 3: Cross multiply
    1,082.96x = 1,624.27 × 352.43
  4. Step 4: Simplify right side
    1,082.96x = 572,441.48
  5. Step 5: Solve for x
    x = 572,441.48/1,082.96
  6. Step 6: Final answer
    x = 528.59

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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.