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Finding the Fourth Proportional to 692.07, 1,038.11 and 259.13

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Solution

The fourth proportional to 692.07, 1,038.11 and 259.13 is: 388.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.07 : 1,038.11 = 259.13 : x
  2. Step 2: Convert to fraction form
    692.07/1,038.11 = 259.13/x
  3. Step 3: Cross multiply
    692.07x = 1,038.11 × 259.13
  4. Step 4: Simplify right side
    692.07x = 268,998.96
  5. Step 5: Solve for x
    x = 268,998.96/692.07
  6. Step 6: Final answer
    x = 388.69

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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.