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Finding the Fourth Proportional to 686.25, 1,029.30 and 320.81

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Solution

The fourth proportional to 686.25, 1,029.30 and 320.81 is: 481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    686.25 : 1,029.30 = 320.81 : x
  2. Step 2: Convert to fraction form
    686.25/1,029.30 = 320.81/x
  3. Step 3: Cross multiply
    686.25x = 1,029.30 × 320.81
  4. Step 4: Simplify right side
    686.25x = 330,204.59
  5. Step 5: Solve for x
    x = 330,204.59/686.25
  6. Step 6: Final answer
    x = 481.17

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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.