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Finding the Fourth Proportional to 692.83, 1,038.06 and 486.44

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Solution

The fourth proportional to 692.83, 1,038.06 and 486.44 is: 728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.83 : 1,038.06 = 486.44 : x
  2. Step 2: Convert to fraction form
    692.83/1,038.06 = 486.44/x
  3. Step 3: Cross multiply
    692.83x = 1,038.06 × 486.44
  4. Step 4: Simplify right side
    692.83x = 504,948.54
  5. Step 5: Solve for x
    x = 504,948.54/692.83
  6. Step 6: Final answer
    x = 728.82

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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.