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Finding the Fourth Proportional to 692.83, 1,038.84 and 418.78

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Solution

The fourth proportional to 692.83, 1,038.84 and 418.78 is: 627.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.83 : 1,038.84 = 418.78 : x
  2. Step 2: Convert to fraction form
    692.83/1,038.84 = 418.78/x
  3. Step 3: Cross multiply
    692.83x = 1,038.84 × 418.78
  4. Step 4: Simplify right side
    692.83x = 435,045.42
  5. Step 5: Solve for x
    x = 435,045.42/692.83
  6. Step 6: Final answer
    x = 627.93

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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.