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Finding the Fourth Proportional to 1,082.02, 1,623.03 and 697.54

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Solution

The fourth proportional to 1,082.02, 1,623.03 and 697.54 is: 1,046.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.02 : 1,623.03 = 697.54 : x
  2. Step 2: Convert to fraction form
    1,082.02/1,623.03 = 697.54/x
  3. Step 3: Cross multiply
    1,082.02x = 1,623.03 × 697.54
  4. Step 4: Simplify right side
    1,082.02x = 1,132,128.35
  5. Step 5: Solve for x
    x = 1,132,128.35/1,082.02
  6. Step 6: Final answer
    x = 1,046.31

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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.