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Finding the Fourth Proportional to 692.71, 1,036.78 and 419.33

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Solution

The fourth proportional to 692.71, 1,036.78 and 419.33 is: 627.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    692.71 : 1,036.78 = 419.33 : x
  2. Step 2: Convert to fraction form
    692.71/1,036.78 = 419.33/x
  3. Step 3: Cross multiply
    692.71x = 1,036.78 × 419.33
  4. Step 4: Simplify right side
    692.71x = 434,752.96
  5. Step 5: Solve for x
    x = 434,752.96/692.71
  6. Step 6: Final answer
    x = 627.61

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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.