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Finding the Fourth Proportional to 680.10, 1,018.80 and 391.20

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Solution

The fourth proportional to 680.10, 1,018.80 and 391.20 is: 586.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    680.10 : 1,018.80 = 391.20 : x
  2. Step 2: Convert to fraction form
    680.10/1,018.80 = 391.20/x
  3. Step 3: Cross multiply
    680.10x = 1,018.80 × 391.20
  4. Step 4: Simplify right side
    680.10x = 398,554.56
  5. Step 5: Solve for x
    x = 398,554.56/680.10
  6. Step 6: Final answer
    x = 586.02

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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.