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Finding the Fourth Proportional to 686.88, 1,028.70 and 625.86

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Solution

The fourth proportional to 686.88, 1,028.70 and 625.86 is: 937.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.88 : 1,028.70 = 625.86 : x
  2. Step 2: Convert to fraction form
    686.88/1,028.70 = 625.86/x
  3. Step 3: Cross multiply
    686.88x = 1,028.70 × 625.86
  4. Step 4: Simplify right side
    686.88x = 643,822.18
  5. Step 5: Solve for x
    x = 643,822.18/686.88
  6. Step 6: Final answer
    x = 937.31

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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.