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Finding the Fourth Proportional to 686.86, 1,030.86 and 681.46

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Solution

The fourth proportional to 686.86, 1,030.86 and 681.46 is: 1,022.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.86 : 1,030.86 = 681.46 : x
  2. Step 2: Convert to fraction form
    686.86/1,030.86 = 681.46/x
  3. Step 3: Cross multiply
    686.86x = 1,030.86 × 681.46
  4. Step 4: Simplify right side
    686.86x = 702,489.86
  5. Step 5: Solve for x
    x = 702,489.86/686.86
  6. Step 6: Final answer
    x = 1,022.76

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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.