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Finding the Fourth Proportional to 692.92, 949.45 and 686.52

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Solution

The fourth proportional to 692.92, 949.45 and 686.52 is: 940.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.92 : 949.45 = 686.52 : x
  2. Step 2: Convert to fraction form
    692.92/949.45 = 686.52/x
  3. Step 3: Cross multiply
    692.92x = 949.45 × 686.52
  4. Step 4: Simplify right side
    692.92x = 651,816.41
  5. Step 5: Solve for x
    x = 651,816.41/692.92
  6. Step 6: Final answer
    x = 940.68

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.