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Finding the Fourth Proportional to 1,240.14, 1,858.86 and 778.26

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Solution

The fourth proportional to 1,240.14, 1,858.86 and 778.26 is: 1,166.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,240.14 : 1,858.86 = 778.26 : x
  2. Step 2: Convert to fraction form
    1,240.14/1,858.86 = 778.26/x
  3. Step 3: Cross multiply
    1,240.14x = 1,858.86 × 778.26
  4. Step 4: Simplify right side
    1,240.14x = 1,446,676.38
  5. Step 5: Solve for x
    x = 1,446,676.38/1,240.14
  6. Step 6: Final answer
    x = 1,166.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.