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Finding the Fourth Proportional to 704.30, 969.17 and 683.87

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Solution

The fourth proportional to 704.30, 969.17 and 683.87 is: 941.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    704.30 : 969.17 = 683.87 : x
  2. Step 2: Convert to fraction form
    704.30/969.17 = 683.87/x
  3. Step 3: Cross multiply
    704.30x = 969.17 × 683.87
  4. Step 4: Simplify right side
    704.30x = 662,778.02
  5. Step 5: Solve for x
    x = 662,778.02/704.30
  6. Step 6: Final answer
    x = 941.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.