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Finding the Fourth Proportional to 1,408.16, 2,112.14 and 627.93

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Solution

The fourth proportional to 1,408.16, 2,112.14 and 627.93 is: 941.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.16 : 2,112.14 = 627.93 : x
  2. Step 2: Convert to fraction form
    1,408.16/2,112.14 = 627.93/x
  3. Step 3: Cross multiply
    1,408.16x = 2,112.14 × 627.93
  4. Step 4: Simplify right side
    1,408.16x = 1,326,272.93
  5. Step 5: Solve for x
    x = 1,326,272.93/1,408.16
  6. Step 6: Final answer
    x = 941.85

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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.