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Finding the Fourth Proportional to 692.43, 1,037.96 and 569.41

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Solution

The fourth proportional to 692.43, 1,037.96 and 569.41 is: 853.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.43 : 1,037.96 = 569.41 : x
  2. Step 2: Convert to fraction form
    692.43/1,037.96 = 569.41/x
  3. Step 3: Cross multiply
    692.43x = 1,037.96 × 569.41
  4. Step 4: Simplify right side
    692.43x = 591,025.39
  5. Step 5: Solve for x
    x = 591,025.39/692.43
  6. Step 6: Final answer
    x = 853.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.