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Finding the Fourth Proportional to 692.41, 1,037.83 and 281.03

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Solution

The fourth proportional to 692.41, 1,037.83 and 281.03 is: 421.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.41 : 1,037.83 = 281.03 : x
  2. Step 2: Convert to fraction form
    692.41/1,037.83 = 281.03/x
  3. Step 3: Cross multiply
    692.41x = 1,037.83 × 281.03
  4. Step 4: Simplify right side
    692.41x = 291,661.84
  5. Step 5: Solve for x
    x = 291,661.84/692.41
  6. Step 6: Final answer
    x = 421.23

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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.