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Finding the Fourth Proportional to 692.64, 1,038.96 and 259.70

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Solution

The fourth proportional to 692.64, 1,038.96 and 259.70 is: 389.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.64 : 1,038.96 = 259.70 : x
  2. Step 2: Convert to fraction form
    692.64/1,038.96 = 259.70/x
  3. Step 3: Cross multiply
    692.64x = 1,038.96 × 259.70
  4. Step 4: Simplify right side
    692.64x = 269,812.72
  5. Step 5: Solve for x
    x = 269,812.72/692.64
  6. Step 6: Final answer
    x = 389.54

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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.