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Finding the Fourth Proportional to 692.98, 1,039.68 and 260.20

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Solution

The fourth proportional to 692.98, 1,039.68 and 260.20 is: 390.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.98 : 1,039.68 = 260.20 : x
  2. Step 2: Convert to fraction form
    692.98/1,039.68 = 260.20/x
  3. Step 3: Cross multiply
    692.98x = 1,039.68 × 260.20
  4. Step 4: Simplify right side
    692.98x = 270,524.74
  5. Step 5: Solve for x
    x = 270,524.74/692.98
  6. Step 6: Final answer
    x = 390.38

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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.