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Finding the Fourth Proportional to 692.65, 1,038.88 and 259.75

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Solution

The fourth proportional to 692.65, 1,038.88 and 259.75 is: 389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.65 : 1,038.88 = 259.75 : x
  2. Step 2: Convert to fraction form
    692.65/1,038.88 = 259.75/x
  3. Step 3: Cross multiply
    692.65x = 1,038.88 × 259.75
  4. Step 4: Simplify right side
    692.65x = 269,849.08
  5. Step 5: Solve for x
    x = 269,849.08/692.65
  6. Step 6: Final answer
    x = 389.59

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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.