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Finding the Fourth Proportional to 1,012.35, 1,394.79 and 759.21

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Solution

The fourth proportional to 1,012.35, 1,394.79 and 759.21 is: 1,046.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,012.35 : 1,394.79 = 759.21 : x
  2. Step 2: Convert to fraction form
    1,012.35/1,394.79 = 759.21/x
  3. Step 3: Cross multiply
    1,012.35x = 1,394.79 × 759.21
  4. Step 4: Simplify right side
    1,012.35x = 1,058,938.52
  5. Step 5: Solve for x
    x = 1,058,938.52/1,012.35
  6. Step 6: Final answer
    x = 1,046.02

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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.