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Finding the Fourth Proportional to 1,082.28, 1,623.42 and 312.78

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Solution

The fourth proportional to 1,082.28, 1,623.42 and 312.78 is: 469.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.28 : 1,623.42 = 312.78 : x
  2. Step 2: Convert to fraction form
    1,082.28/1,623.42 = 312.78/x
  3. Step 3: Cross multiply
    1,082.28x = 1,623.42 × 312.78
  4. Step 4: Simplify right side
    1,082.28x = 507,773.31
  5. Step 5: Solve for x
    x = 507,773.31/1,082.28
  6. Step 6: Final answer
    x = 469.17

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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.