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Finding the Fourth Proportional to 1,082.34, 1,620.27 and 648.18

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Solution

The fourth proportional to 1,082.34, 1,620.27 and 648.18 is: 970.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.34 : 1,620.27 = 648.18 : x
  2. Step 2: Convert to fraction form
    1,082.34/1,620.27 = 648.18/x
  3. Step 3: Cross multiply
    1,082.34x = 1,620.27 × 648.18
  4. Step 4: Simplify right side
    1,082.34x = 1,050,226.61
  5. Step 5: Solve for x
    x = 1,050,226.61/1,082.34
  6. Step 6: Final answer
    x = 970.33

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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.