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Finding the Fourth Proportional to 686.28, 1,029.21 and 378.07

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Solution

The fourth proportional to 686.28, 1,029.21 and 378.07 is: 566.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.28 : 1,029.21 = 378.07 : x
  2. Step 2: Convert to fraction form
    686.28/1,029.21 = 378.07/x
  3. Step 3: Cross multiply
    686.28x = 1,029.21 × 378.07
  4. Step 4: Simplify right side
    686.28x = 389,113.42
  5. Step 5: Solve for x
    x = 389,113.42/686.28
  6. Step 6: Final answer
    x = 566.99

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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.