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Finding the Fourth Proportional to 1,254.26, 1,879.38 and 766.34

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Solution

The fourth proportional to 1,254.26, 1,879.38 and 766.34 is: 1,148.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.26 : 1,879.38 = 766.34 : x
  2. Step 2: Convert to fraction form
    1,254.26/1,879.38 = 766.34/x
  3. Step 3: Cross multiply
    1,254.26x = 1,879.38 × 766.34
  4. Step 4: Simplify right side
    1,254.26x = 1,440,244.07
  5. Step 5: Solve for x
    x = 1,440,244.07/1,254.26
  6. Step 6: Final answer
    x = 1,148.28

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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.