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Finding the Fourth Proportional to 1,082.52, 1,621.32 and 648.84

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Solution

The fourth proportional to 1,082.52, 1,621.32 and 648.84 is: 971.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.52 : 1,621.32 = 648.84 : x
  2. Step 2: Convert to fraction form
    1,082.52/1,621.32 = 648.84/x
  3. Step 3: Cross multiply
    1,082.52x = 1,621.32 × 648.84
  4. Step 4: Simplify right side
    1,082.52x = 1,051,977.27
  5. Step 5: Solve for x
    x = 1,051,977.27/1,082.52
  6. Step 6: Final answer
    x = 971.79

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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.