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Finding the Fourth Proportional to 1,082.35, 1,617.78 and 1,056.43

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Solution

The fourth proportional to 1,082.35, 1,617.78 and 1,056.43 is: 1,579.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.35 : 1,617.78 = 1,056.43 : x
  2. Step 2: Convert to fraction form
    1,082.35/1,617.78 = 1,056.43/x
  3. Step 3: Cross multiply
    1,082.35x = 1,617.78 × 1,056.43
  4. Step 4: Simplify right side
    1,082.35x = 1,709,071.33
  5. Step 5: Solve for x
    x = 1,709,071.33/1,082.35
  6. Step 6: Final answer
    x = 1,579.04

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.