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Finding the Fourth Proportional to 686.08, 944.89 and 592.79

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Solution

The fourth proportional to 686.08, 944.89 and 592.79 is: 816.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.08 : 944.89 = 592.79 : x
  2. Step 2: Convert to fraction form
    686.08/944.89 = 592.79/x
  3. Step 3: Cross multiply
    686.08x = 944.89 × 592.79
  4. Step 4: Simplify right side
    686.08x = 560,122.22
  5. Step 5: Solve for x
    x = 560,122.22/686.08
  6. Step 6: Final answer
    x = 816.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.