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Finding the Fourth Proportional to 692.99, 1,039.76 and 206.05

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Solution

The fourth proportional to 692.99, 1,039.76 and 206.05 is: 309.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.99 : 1,039.76 = 206.05 : x
  2. Step 2: Convert to fraction form
    692.99/1,039.76 = 206.05/x
  3. Step 3: Cross multiply
    692.99x = 1,039.76 × 206.05
  4. Step 4: Simplify right side
    692.99x = 214,242.55
  5. Step 5: Solve for x
    x = 214,242.55/692.99
  6. Step 6: Final answer
    x = 309.16

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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.