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Finding the Fourth Proportional to 686.18, 947.37 and 612.37

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Solution

The fourth proportional to 686.18, 947.37 and 612.37 is: 845.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.18 : 947.37 = 612.37 : x
  2. Step 2: Convert to fraction form
    686.18/947.37 = 612.37/x
  3. Step 3: Cross multiply
    686.18x = 947.37 × 612.37
  4. Step 4: Simplify right side
    686.18x = 580,140.97
  5. Step 5: Solve for x
    x = 580,140.97/686.18
  6. Step 6: Final answer
    x = 845.46

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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.