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Finding the Fourth Proportional to 692.02, 1,038.12 and 259.48

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Solution

The fourth proportional to 692.02, 1,038.12 and 259.48 is: 389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.02 : 1,038.12 = 259.48 : x
  2. Step 2: Convert to fraction form
    692.02/1,038.12 = 259.48/x
  3. Step 3: Cross multiply
    692.02x = 1,038.12 × 259.48
  4. Step 4: Simplify right side
    692.02x = 269,371.38
  5. Step 5: Solve for x
    x = 269,371.38/692.02
  6. Step 6: Final answer
    x = 389.25

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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.