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Finding the Fourth Proportional to 692.02, 1,038.21 and 259.30

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Solution

The fourth proportional to 692.02, 1,038.21 and 259.30 is: 389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.02 : 1,038.21 = 259.30 : x
  2. Step 2: Convert to fraction form
    692.02/1,038.21 = 259.30/x
  3. Step 3: Cross multiply
    692.02x = 1,038.21 × 259.30
  4. Step 4: Simplify right side
    692.02x = 269,207.85
  5. Step 5: Solve for x
    x = 269,207.85/692.02
  6. Step 6: Final answer
    x = 389.02

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Why These Related Problems?

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