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Finding the Fourth Proportional to 692.46, 1,038.47 and 259.52

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Solution

The fourth proportional to 692.46, 1,038.47 and 259.52 is: 389.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.46 : 1,038.47 = 259.52 : x
  2. Step 2: Convert to fraction form
    692.46/1,038.47 = 259.52/x
  3. Step 3: Cross multiply
    692.46x = 1,038.47 × 259.52
  4. Step 4: Simplify right side
    692.46x = 269,497.24
  5. Step 5: Solve for x
    x = 269,497.24/692.46
  6. Step 6: Final answer
    x = 389.19

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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.