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Finding the Fourth Proportional to 841.26, 1,254.99 and 782.34

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Solution

The fourth proportional to 841.26, 1,254.99 and 782.34 is: 1,167.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.26 : 1,254.99 = 782.34 : x
  2. Step 2: Convert to fraction form
    841.26/1,254.99 = 782.34/x
  3. Step 3: Cross multiply
    841.26x = 1,254.99 × 782.34
  4. Step 4: Simplify right side
    841.26x = 981,828.88
  5. Step 5: Solve for x
    x = 981,828.88/841.26
  6. Step 6: Final answer
    x = 1,167.09

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.