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Finding the Fourth Proportional to 1,418.88, 1,958.48 and 859.36

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Solution

The fourth proportional to 1,418.88, 1,958.48 and 859.36 is: 1,186.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.88 : 1,958.48 = 859.36 : x
  2. Step 2: Convert to fraction form
    1,418.88/1,958.48 = 859.36/x
  3. Step 3: Cross multiply
    1,418.88x = 1,958.48 × 859.36
  4. Step 4: Simplify right side
    1,418.88x = 1,683,039.37
  5. Step 5: Solve for x
    x = 1,683,039.37/1,418.88
  6. Step 6: Final answer
    x = 1,186.17

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Why These Related Problems?

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