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Finding the Fourth Proportional to 692.10, 1,038.12 and 259.14

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Solution

The fourth proportional to 692.10, 1,038.12 and 259.14 is: 388.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.10 : 1,038.12 = 259.14 : x
  2. Step 2: Convert to fraction form
    692.10/1,038.12 = 259.14/x
  3. Step 3: Cross multiply
    692.10x = 1,038.12 × 259.14
  4. Step 4: Simplify right side
    692.10x = 269,018.42
  5. Step 5: Solve for x
    x = 269,018.42/692.10
  6. Step 6: Final answer
    x = 388.70

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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.