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Finding the Fourth Proportional to 692.96, 1,039.68 and 282.33

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Solution

The fourth proportional to 692.96, 1,039.68 and 282.33 is: 423.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.96 : 1,039.68 = 282.33 : x
  2. Step 2: Convert to fraction form
    692.96/1,039.68 = 282.33/x
  3. Step 3: Cross multiply
    692.96x = 1,039.68 × 282.33
  4. Step 4: Simplify right side
    692.96x = 293,532.85
  5. Step 5: Solve for x
    x = 293,532.85/692.96
  6. Step 6: Final answer
    x = 423.60

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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.