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Finding the Fourth Proportional to 1,445.40, 1,994.67 and 782.27

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Solution

The fourth proportional to 1,445.40, 1,994.67 and 782.27 is: 1,079.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.40 : 1,994.67 = 782.27 : x
  2. Step 2: Convert to fraction form
    1,445.40/1,994.67 = 782.27/x
  3. Step 3: Cross multiply
    1,445.40x = 1,994.67 × 782.27
  4. Step 4: Simplify right side
    1,445.40x = 1,560,370.50
  5. Step 5: Solve for x
    x = 1,560,370.50/1,445.40
  6. Step 6: Final answer
    x = 1,079.54

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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.