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Finding the Fourth Proportional to 692.57, 955.80 and 427.07

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Solution

The fourth proportional to 692.57, 955.80 and 427.07 is: 589.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.57 : 955.80 = 427.07 : x
  2. Step 2: Convert to fraction form
    692.57/955.80 = 427.07/x
  3. Step 3: Cross multiply
    692.57x = 955.80 × 427.07
  4. Step 4: Simplify right side
    692.57x = 408,188.73
  5. Step 5: Solve for x
    x = 408,188.73/692.57
  6. Step 6: Final answer
    x = 589.39

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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.