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Finding the Fourth Proportional to 692.88, 1,037.70 and 537.78

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Solution

The fourth proportional to 692.88, 1,037.70 and 537.78 is: 805.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.88 : 1,037.70 = 537.78 : x
  2. Step 2: Convert to fraction form
    692.88/1,037.70 = 537.78/x
  3. Step 3: Cross multiply
    692.88x = 1,037.70 × 537.78
  4. Step 4: Simplify right side
    692.88x = 558,054.31
  5. Step 5: Solve for x
    x = 558,054.31/692.88
  6. Step 6: Final answer
    x = 805.41

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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.