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Finding the Fourth Proportional to 692.24, 954.05 and 505.44

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Solution

The fourth proportional to 692.24, 954.05 and 505.44 is: 696.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.24 : 954.05 = 505.44 : x
  2. Step 2: Convert to fraction form
    692.24/954.05 = 505.44/x
  3. Step 3: Cross multiply
    692.24x = 954.05 × 505.44
  4. Step 4: Simplify right side
    692.24x = 482,212.50
  5. Step 5: Solve for x
    x = 482,212.50/692.24
  6. Step 6: Final answer
    x = 696.60

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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.