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Finding the Fourth Proportional to 692.81, 954.69 and 574.46

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Solution

The fourth proportional to 692.81, 954.69 and 574.46 is: 791.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.81 : 954.69 = 574.46 : x
  2. Step 2: Convert to fraction form
    692.81/954.69 = 574.46/x
  3. Step 3: Cross multiply
    692.81x = 954.69 × 574.46
  4. Step 4: Simplify right side
    692.81x = 548,426.44
  5. Step 5: Solve for x
    x = 548,426.44/692.81
  6. Step 6: Final answer
    x = 791.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.