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Finding the Fourth Proportional to 790.81, 1,180.96 and 782.22

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Solution

The fourth proportional to 790.81, 1,180.96 and 782.22 is: 1,168.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.81 : 1,180.96 = 782.22 : x
  2. Step 2: Convert to fraction form
    790.81/1,180.96 = 782.22/x
  3. Step 3: Cross multiply
    790.81x = 1,180.96 × 782.22
  4. Step 4: Simplify right side
    790.81x = 923,768.58
  5. Step 5: Solve for x
    x = 923,768.58/790.81
  6. Step 6: Final answer
    x = 1,168.13

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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.