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Finding the Fourth Proportional to 692.31, 1,038.69 and 259.50

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Solution

The fourth proportional to 692.31, 1,038.69 and 259.50 is: 389.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.31 : 1,038.69 = 259.50 : x
  2. Step 2: Convert to fraction form
    692.31/1,038.69 = 259.50/x
  3. Step 3: Cross multiply
    692.31x = 1,038.69 × 259.50
  4. Step 4: Simplify right side
    692.31x = 269,540.06
  5. Step 5: Solve for x
    x = 269,540.06/692.31
  6. Step 6: Final answer
    x = 389.33

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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.