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Finding the Fourth Proportional to 800.33, 1,194.71 and 740.21

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Solution

The fourth proportional to 800.33, 1,194.71 and 740.21 is: 1,104.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.33 : 1,194.71 = 740.21 : x
  2. Step 2: Convert to fraction form
    800.33/1,194.71 = 740.21/x
  3. Step 3: Cross multiply
    800.33x = 1,194.71 × 740.21
  4. Step 4: Simplify right side
    800.33x = 884,326.61
  5. Step 5: Solve for x
    x = 884,326.61/800.33
  6. Step 6: Final answer
    x = 1,104.96

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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.