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Finding the Fourth Proportional to 692.10, 1,033.34 and 622.98

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Solution

The fourth proportional to 692.10, 1,033.34 and 622.98 is: 930.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.10 : 1,033.34 = 622.98 : x
  2. Step 2: Convert to fraction form
    692.10/1,033.34 = 622.98/x
  3. Step 3: Cross multiply
    692.10x = 1,033.34 × 622.98
  4. Step 4: Simplify right side
    692.10x = 643,747.04
  5. Step 5: Solve for x
    x = 643,747.04/692.10
  6. Step 6: Final answer
    x = 930.14

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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.