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Finding the Fourth Proportional to 1,408.98, 2,112.24 and 715.06

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Solution

The fourth proportional to 1,408.98, 2,112.24 and 715.06 is: 1,071.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,408.98 : 2,112.24 = 715.06 : x
  2. Step 2: Convert to fraction form
    1,408.98/2,112.24 = 715.06/x
  3. Step 3: Cross multiply
    1,408.98x = 2,112.24 × 715.06
  4. Step 4: Simplify right side
    1,408.98x = 1,510,378.33
  5. Step 5: Solve for x
    x = 1,510,378.33/1,408.98
  6. Step 6: Final answer
    x = 1,071.97

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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.