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Finding the Fourth Proportional to 692.54, 1,038.95 and 259.70

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Solution

The fourth proportional to 692.54, 1,038.95 and 259.70 is: 389.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.54 : 1,038.95 = 259.70 : x
  2. Step 2: Convert to fraction form
    692.54/1,038.95 = 259.70/x
  3. Step 3: Cross multiply
    692.54x = 1,038.95 × 259.70
  4. Step 4: Simplify right side
    692.54x = 269,808.82
  5. Step 5: Solve for x
    x = 269,808.82/692.54
  6. Step 6: Final answer
    x = 389.60

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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.