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Finding the Fourth Proportional to 1,082.82, 1,493.95 and 640.56

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Solution

The fourth proportional to 1,082.82, 1,493.95 and 640.56 is: 883.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.82 : 1,493.95 = 640.56 : x
  2. Step 2: Convert to fraction form
    1,082.82/1,493.95 = 640.56/x
  3. Step 3: Cross multiply
    1,082.82x = 1,493.95 × 640.56
  4. Step 4: Simplify right side
    1,082.82x = 956,964.61
  5. Step 5: Solve for x
    x = 956,964.61/1,082.82
  6. Step 6: Final answer
    x = 883.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.