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Finding the Fourth Proportional to 692.82, 1,039.57 and 511.04

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Solution

The fourth proportional to 692.82, 1,039.57 and 511.04 is: 766.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.82 : 1,039.57 = 511.04 : x
  2. Step 2: Convert to fraction form
    692.82/1,039.57 = 511.04/x
  3. Step 3: Cross multiply
    692.82x = 1,039.57 × 511.04
  4. Step 4: Simplify right side
    692.82x = 531,263.17
  5. Step 5: Solve for x
    x = 531,263.17/692.82
  6. Step 6: Final answer
    x = 766.81

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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.