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Finding the Fourth Proportional to 1,418.86, 1,958.29 and 859.81

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Solution

The fourth proportional to 1,418.86, 1,958.29 and 859.81 is: 1,186.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.86 : 1,958.29 = 859.81 : x
  2. Step 2: Convert to fraction form
    1,418.86/1,958.29 = 859.81/x
  3. Step 3: Cross multiply
    1,418.86x = 1,958.29 × 859.81
  4. Step 4: Simplify right side
    1,418.86x = 1,683,753.03
  5. Step 5: Solve for x
    x = 1,683,753.03/1,418.86
  6. Step 6: Final answer
    x = 1,186.69

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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.