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Finding the Fourth Proportional to 692.92, 1,039.62 and 260.14

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Solution

The fourth proportional to 692.92, 1,039.62 and 260.14 is: 390.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.92 : 1,039.62 = 260.14 : x
  2. Step 2: Convert to fraction form
    692.92/1,039.62 = 260.14/x
  3. Step 3: Cross multiply
    692.92x = 1,039.62 × 260.14
  4. Step 4: Simplify right side
    692.92x = 270,446.75
  5. Step 5: Solve for x
    x = 270,446.75/692.92
  6. Step 6: Final answer
    x = 390.30

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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.