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Finding the Fourth Proportional to 1,419.86, 1,959.58 and 860.31

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Solution

The fourth proportional to 1,419.86, 1,959.58 and 860.31 is: 1,187.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.86 : 1,959.58 = 860.31 : x
  2. Step 2: Convert to fraction form
    1,419.86/1,959.58 = 860.31/x
  3. Step 3: Cross multiply
    1,419.86x = 1,959.58 × 860.31
  4. Step 4: Simplify right side
    1,419.86x = 1,685,846.27
  5. Step 5: Solve for x
    x = 1,685,846.27/1,419.86
  6. Step 6: Final answer
    x = 1,187.33

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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.