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Finding the Fourth Proportional to 692.72, 1,038.80 and 259.60

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Solution

The fourth proportional to 692.72, 1,038.80 and 259.60 is: 389.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.72 : 1,038.80 = 259.60 : x
  2. Step 2: Convert to fraction form
    692.72/1,038.80 = 259.60/x
  3. Step 3: Cross multiply
    692.72x = 1,038.80 × 259.60
  4. Step 4: Simplify right side
    692.72x = 269,672.48
  5. Step 5: Solve for x
    x = 269,672.48/692.72
  6. Step 6: Final answer
    x = 389.30

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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.