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Finding the Fourth Proportional to 692.46, 1,033.38 and 633.60

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Solution

The fourth proportional to 692.46, 1,033.38 and 633.60 is: 945.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.46 : 1,033.38 = 633.60 : x
  2. Step 2: Convert to fraction form
    692.46/1,033.38 = 633.60/x
  3. Step 3: Cross multiply
    692.46x = 1,033.38 × 633.60
  4. Step 4: Simplify right side
    692.46x = 654,749.57
  5. Step 5: Solve for x
    x = 654,749.57/692.46
  6. Step 6: Final answer
    x = 945.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.