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Finding the Fourth Proportional to 981.81, 1,471.25 and 494.25

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Solution

The fourth proportional to 981.81, 1,471.25 and 494.25 is: 740.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    981.81 : 1,471.25 = 494.25 : x
  2. Step 2: Convert to fraction form
    981.81/1,471.25 = 494.25/x
  3. Step 3: Cross multiply
    981.81x = 1,471.25 × 494.25
  4. Step 4: Simplify right side
    981.81x = 727,162.84
  5. Step 5: Solve for x
    x = 727,162.84/981.81
  6. Step 6: Final answer
    x = 740.63

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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.