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Finding the Fourth Proportional to 692.93, 1,037.54 and 400.19

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Solution

The fourth proportional to 692.93, 1,037.54 and 400.19 is: 599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.93 : 1,037.54 = 400.19 : x
  2. Step 2: Convert to fraction form
    692.93/1,037.54 = 400.19/x
  3. Step 3: Cross multiply
    692.93x = 1,037.54 × 400.19
  4. Step 4: Simplify right side
    692.93x = 415,208.95
  5. Step 5: Solve for x
    x = 415,208.95/692.93
  6. Step 6: Final answer
    x = 599.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.