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Finding the Fourth Proportional to 796.41, 1,194.55 and 538.07

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Solution

The fourth proportional to 796.41, 1,194.55 and 538.07 is: 807.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.41 : 1,194.55 = 538.07 : x
  2. Step 2: Convert to fraction form
    796.41/1,194.55 = 538.07/x
  3. Step 3: Cross multiply
    796.41x = 1,194.55 × 538.07
  4. Step 4: Simplify right side
    796.41x = 642,748.68
  5. Step 5: Solve for x
    x = 642,748.68/796.41
  6. Step 6: Final answer
    x = 807.06

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Why These Related Problems?

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