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Finding the Fourth Proportional to 1,314.98, 1,814.31 and 755.42

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Solution

The fourth proportional to 1,314.98, 1,814.31 and 755.42 is: 1,042.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,314.98 : 1,814.31 = 755.42 : x
  2. Step 2: Convert to fraction form
    1,314.98/1,814.31 = 755.42/x
  3. Step 3: Cross multiply
    1,314.98x = 1,814.31 × 755.42
  4. Step 4: Simplify right side
    1,314.98x = 1,370,566.06
  5. Step 5: Solve for x
    x = 1,370,566.06/1,314.98
  6. Step 6: Final answer
    x = 1,042.27

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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.