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Finding the Fourth Proportional to 1,418.90, 1,958.46 and 859.40

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Solution

The fourth proportional to 1,418.90, 1,958.46 and 859.40 is: 1,186.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.90 : 1,958.46 = 859.40 : x
  2. Step 2: Convert to fraction form
    1,418.90/1,958.46 = 859.40/x
  3. Step 3: Cross multiply
    1,418.90x = 1,958.46 × 859.40
  4. Step 4: Simplify right side
    1,418.90x = 1,683,100.52
  5. Step 5: Solve for x
    x = 1,683,100.52/1,418.90
  6. Step 6: Final answer
    x = 1,186.20

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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.