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Finding the Fourth Proportional to 1,443.93, 2,165.67 and 403.82

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Solution

The fourth proportional to 1,443.93, 2,165.67 and 403.82 is: 605.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,443.93 : 2,165.67 = 403.82 : x
  2. Step 2: Convert to fraction form
    1,443.93/2,165.67 = 403.82/x
  3. Step 3: Cross multiply
    1,443.93x = 2,165.67 × 403.82
  4. Step 4: Simplify right side
    1,443.93x = 874,539.35
  5. Step 5: Solve for x
    x = 874,539.35/1,443.93
  6. Step 6: Final answer
    x = 605.67

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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.