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Finding the Fourth Proportional to 1,082.90, 1,622.37 and 596.54

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Solution

The fourth proportional to 1,082.90, 1,622.37 and 596.54 is: 893.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.90 : 1,622.37 = 596.54 : x
  2. Step 2: Convert to fraction form
    1,082.90/1,622.37 = 596.54/x
  3. Step 3: Cross multiply
    1,082.90x = 1,622.37 × 596.54
  4. Step 4: Simplify right side
    1,082.90x = 967,808.60
  5. Step 5: Solve for x
    x = 967,808.60/1,082.90
  6. Step 6: Final answer
    x = 893.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.