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Finding the Fourth Proportional to 1,418.96, 1,958.67 and 829.98

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Solution

The fourth proportional to 1,418.96, 1,958.67 and 829.98 is: 1,145.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.96 : 1,958.67 = 829.98 : x
  2. Step 2: Convert to fraction form
    1,418.96/1,958.67 = 829.98/x
  3. Step 3: Cross multiply
    1,418.96x = 1,958.67 × 829.98
  4. Step 4: Simplify right side
    1,418.96x = 1,625,656.93
  5. Step 5: Solve for x
    x = 1,625,656.93/1,418.96
  6. Step 6: Final answer
    x = 1,145.67

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.