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Finding the Fourth Proportional to 692.37, 1,037.53 and 546.49

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Solution

The fourth proportional to 692.37, 1,037.53 and 546.49 is: 818.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.37 : 1,037.53 = 546.49 : x
  2. Step 2: Convert to fraction form
    692.37/1,037.53 = 546.49/x
  3. Step 3: Cross multiply
    692.37x = 1,037.53 × 546.49
  4. Step 4: Simplify right side
    692.37x = 566,991.85
  5. Step 5: Solve for x
    x = 566,991.85/692.37
  6. Step 6: Final answer
    x = 818.92

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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.