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Finding the Fourth Proportional to 686.03, 946.35 and 519.96

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Solution

The fourth proportional to 686.03, 946.35 and 519.96 is: 717.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.03 : 946.35 = 519.96 : x
  2. Step 2: Convert to fraction form
    686.03/946.35 = 519.96/x
  3. Step 3: Cross multiply
    686.03x = 946.35 × 519.96
  4. Step 4: Simplify right side
    686.03x = 492,062.37
  5. Step 5: Solve for x
    x = 492,062.37/686.03
  6. Step 6: Final answer
    x = 717.27

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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.