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Finding the Fourth Proportional to 796.74, 1,194.04 and 589.63

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Solution

The fourth proportional to 796.74, 1,194.04 and 589.63 is: 883.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.74 : 1,194.04 = 589.63 : x
  2. Step 2: Convert to fraction form
    796.74/1,194.04 = 589.63/x
  3. Step 3: Cross multiply
    796.74x = 1,194.04 × 589.63
  4. Step 4: Simplify right side
    796.74x = 704,041.80
  5. Step 5: Solve for x
    x = 704,041.80/796.74
  6. Step 6: Final answer
    x = 883.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.