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Finding the Fourth Proportional to 692.24, 954.62 and 534.62

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Solution

The fourth proportional to 692.24, 954.62 and 534.62 is: 737.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.24 : 954.62 = 534.62 : x
  2. Step 2: Convert to fraction form
    692.24/954.62 = 534.62/x
  3. Step 3: Cross multiply
    692.24x = 954.62 × 534.62
  4. Step 4: Simplify right side
    692.24x = 510,351.50
  5. Step 5: Solve for x
    x = 510,351.50/692.24
  6. Step 6: Final answer
    x = 737.25

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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.