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Finding the Fourth Proportional to 1,342.44, 1,852.61 and 782.82

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Solution

The fourth proportional to 1,342.44, 1,852.61 and 782.82 is: 1,080.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,342.44 : 1,852.61 = 782.82 : x
  2. Step 2: Convert to fraction form
    1,342.44/1,852.61 = 782.82/x
  3. Step 3: Cross multiply
    1,342.44x = 1,852.61 × 782.82
  4. Step 4: Simplify right side
    1,342.44x = 1,450,250.90
  5. Step 5: Solve for x
    x = 1,450,250.90/1,342.44
  6. Step 6: Final answer
    x = 1,080.31

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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.