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Finding the Fourth Proportional to 692.35, 1,036.90 and 403.99

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Solution

The fourth proportional to 692.35, 1,036.90 and 403.99 is: 605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.35 : 1,036.90 = 403.99 : x
  2. Step 2: Convert to fraction form
    692.35/1,036.90 = 403.99/x
  3. Step 3: Cross multiply
    692.35x = 1,036.90 × 403.99
  4. Step 4: Simplify right side
    692.35x = 418,895.14
  5. Step 5: Solve for x
    x = 418,895.14/692.35
  6. Step 6: Final answer
    x = 605.04

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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.