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Finding the Fourth Proportional to 692.70, 954.83 and 506.21

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Solution

The fourth proportional to 692.70, 954.83 and 506.21 is: 697.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.70 : 954.83 = 506.21 : x
  2. Step 2: Convert to fraction form
    692.70/954.83 = 506.21/x
  3. Step 3: Cross multiply
    692.70x = 954.83 × 506.21
  4. Step 4: Simplify right side
    692.70x = 483,337.19
  5. Step 5: Solve for x
    x = 483,337.19/692.70
  6. Step 6: Final answer
    x = 697.76

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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.