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Finding the Fourth Proportional to 1,082.96, 1,622.91 and 620.04

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Solution

The fourth proportional to 1,082.96, 1,622.91 and 620.04 is: 929.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.96 : 1,622.91 = 620.04 : x
  2. Step 2: Convert to fraction form
    1,082.96/1,622.91 = 620.04/x
  3. Step 3: Cross multiply
    1,082.96x = 1,622.91 × 620.04
  4. Step 4: Simplify right side
    1,082.96x = 1,006,269.12
  5. Step 5: Solve for x
    x = 1,006,269.12/1,082.96
  6. Step 6: Final answer
    x = 929.19

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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.