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Finding the Fourth Proportional to 686.14, 1,028.29 and 594.41

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Solution

The fourth proportional to 686.14, 1,028.29 and 594.41 is: 890.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.14 : 1,028.29 = 594.41 : x
  2. Step 2: Convert to fraction form
    686.14/1,028.29 = 594.41/x
  3. Step 3: Cross multiply
    686.14x = 1,028.29 × 594.41
  4. Step 4: Simplify right side
    686.14x = 611,220.72
  5. Step 5: Solve for x
    x = 611,220.72/686.14
  6. Step 6: Final answer
    x = 890.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.