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Finding the Fourth Proportional to 1,408.93, 2,111.55 and 629.17

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Solution

The fourth proportional to 1,408.93, 2,111.55 and 629.17 is: 942.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.93 : 2,111.55 = 629.17 : x
  2. Step 2: Convert to fraction form
    1,408.93/2,111.55 = 629.17/x
  3. Step 3: Cross multiply
    1,408.93x = 2,111.55 × 629.17
  4. Step 4: Simplify right side
    1,408.93x = 1,328,523.91
  5. Step 5: Solve for x
    x = 1,328,523.91/1,408.93
  6. Step 6: Final answer
    x = 942.93

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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.