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Finding the Fourth Proportional to 692.69, 1,039.37 and 282.12

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Solution

The fourth proportional to 692.69, 1,039.37 and 282.12 is: 423.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.69 : 1,039.37 = 282.12 : x
  2. Step 2: Convert to fraction form
    692.69/1,039.37 = 282.12/x
  3. Step 3: Cross multiply
    692.69x = 1,039.37 × 282.12
  4. Step 4: Simplify right side
    692.69x = 293,227.06
  5. Step 5: Solve for x
    x = 293,227.06/692.69
  6. Step 6: Final answer
    x = 423.32

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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.