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Finding the Fourth Proportional to 692.44, 955.20 and 506.20

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Solution

The fourth proportional to 692.44, 955.20 and 506.20 is: 698.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.44 : 955.20 = 506.20 : x
  2. Step 2: Convert to fraction form
    692.44/955.20 = 506.20/x
  3. Step 3: Cross multiply
    692.44x = 955.20 × 506.20
  4. Step 4: Simplify right side
    692.44x = 483,522.24
  5. Step 5: Solve for x
    x = 483,522.24/692.44
  6. Step 6: Final answer
    x = 698.29

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1.5x scale

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.