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Finding the Fourth Proportional to 692.48, 1,038.62 and 281.61

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Solution

The fourth proportional to 692.48, 1,038.62 and 281.61 is: 422.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.48 : 1,038.62 = 281.61 : x
  2. Step 2: Convert to fraction form
    692.48/1,038.62 = 281.61/x
  3. Step 3: Cross multiply
    692.48x = 1,038.62 × 281.61
  4. Step 4: Simplify right side
    692.48x = 292,486.48
  5. Step 5: Solve for x
    x = 292,486.48/692.48
  6. Step 6: Final answer
    x = 422.37

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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.