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Finding the Fourth Proportional to 1,082.56, 1,621.20 and 505.60

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Solution

The fourth proportional to 1,082.56, 1,621.20 and 505.60 is: 757.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.56 : 1,621.20 = 505.60 : x
  2. Step 2: Convert to fraction form
    1,082.56/1,621.20 = 505.60/x
  3. Step 3: Cross multiply
    1,082.56x = 1,621.20 × 505.60
  4. Step 4: Simplify right side
    1,082.56x = 819,678.72
  5. Step 5: Solve for x
    x = 819,678.72/1,082.56
  6. Step 6: Final answer
    x = 757.17

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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.