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Finding the Fourth Proportional to 692.24, 954.89 and 443.10

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Solution

The fourth proportional to 692.24, 954.89 and 443.10 is: 611.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.24 : 954.89 = 443.10 : x
  2. Step 2: Convert to fraction form
    692.24/954.89 = 443.10/x
  3. Step 3: Cross multiply
    692.24x = 954.89 × 443.10
  4. Step 4: Simplify right side
    692.24x = 423,109.54
  5. Step 5: Solve for x
    x = 423,109.54/692.24
  6. Step 6: Final answer
    x = 611.22

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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.