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Finding the Fourth Proportional to 692.99, 1,039.64 and 230.75

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Solution

The fourth proportional to 692.99, 1,039.64 and 230.75 is: 346.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.99 : 1,039.64 = 230.75 : x
  2. Step 2: Convert to fraction form
    692.99/1,039.64 = 230.75/x
  3. Step 3: Cross multiply
    692.99x = 1,039.64 × 230.75
  4. Step 4: Simplify right side
    692.99x = 239,890.58
  5. Step 5: Solve for x
    x = 239,890.58/692.99
  6. Step 6: Final answer
    x = 346.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.