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Finding the Fourth Proportional to 692.84, 1,038.87 and 230.37

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Solution

The fourth proportional to 692.84, 1,038.87 and 230.37 is: 345.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.84 : 1,038.87 = 230.37 : x
  2. Step 2: Convert to fraction form
    692.84/1,038.87 = 230.37/x
  3. Step 3: Cross multiply
    692.84x = 1,038.87 × 230.37
  4. Step 4: Simplify right side
    692.84x = 239,324.48
  5. Step 5: Solve for x
    x = 239,324.48/692.84
  6. Step 6: Final answer
    x = 345.43

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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.