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Finding the Fourth Proportional to 1,082.78, 1,621.40 and 595.29

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Solution

The fourth proportional to 1,082.78, 1,621.40 and 595.29 is: 891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.78 : 1,621.40 = 595.29 : x
  2. Step 2: Convert to fraction form
    1,082.78/1,621.40 = 595.29/x
  3. Step 3: Cross multiply
    1,082.78x = 1,621.40 × 595.29
  4. Step 4: Simplify right side
    1,082.78x = 965,200.23
  5. Step 5: Solve for x
    x = 965,200.23/1,082.78
  6. Step 6: Final answer
    x = 891.41

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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.