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Finding the Fourth Proportional to 686.56, 947.89 and 612.75

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Solution

The fourth proportional to 686.56, 947.89 and 612.75 is: 845.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.56 : 947.89 = 612.75 : x
  2. Step 2: Convert to fraction form
    686.56/947.89 = 612.75/x
  3. Step 3: Cross multiply
    686.56x = 947.89 × 612.75
  4. Step 4: Simplify right side
    686.56x = 580,814.86
  5. Step 5: Solve for x
    x = 580,814.86/686.56
  6. Step 6: Final answer
    x = 845.98

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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.