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Finding the Fourth Proportional to 680.84, 1,020.62 and 356.42

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Solution

The fourth proportional to 680.84, 1,020.62 and 356.42 is: 534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.84 : 1,020.62 = 356.42 : x
  2. Step 2: Convert to fraction form
    680.84/1,020.62 = 356.42/x
  3. Step 3: Cross multiply
    680.84x = 1,020.62 × 356.42
  4. Step 4: Simplify right side
    680.84x = 363,769.38
  5. Step 5: Solve for x
    x = 363,769.38/680.84
  6. Step 6: Final answer
    x = 534.29

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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.