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Finding the Fourth Proportional to 692.40, 949.02 and 687.60

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Solution

The fourth proportional to 692.40, 949.02 and 687.60 is: 942.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.40 : 949.02 = 687.60 : x
  2. Step 2: Convert to fraction form
    692.40/949.02 = 687.60/x
  3. Step 3: Cross multiply
    692.40x = 949.02 × 687.60
  4. Step 4: Simplify right side
    692.40x = 652,546.15
  5. Step 5: Solve for x
    x = 652,546.15/692.40
  6. Step 6: Final answer
    x = 942.44

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Why These Related Problems?

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