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Finding the Fourth Proportional to 692.57, 1,038.72 and 254.09

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Solution

The fourth proportional to 692.57, 1,038.72 and 254.09 is: 381.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.57 : 1,038.72 = 254.09 : x
  2. Step 2: Convert to fraction form
    692.57/1,038.72 = 254.09/x
  3. Step 3: Cross multiply
    692.57x = 1,038.72 × 254.09
  4. Step 4: Simplify right side
    692.57x = 263,931.91
  5. Step 5: Solve for x
    x = 263,931.91/692.57
  6. Step 6: Final answer
    x = 381.09

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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.