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Finding the Fourth Proportional to 1,054.75, 1,456.37 and 834.84

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Solution

The fourth proportional to 1,054.75, 1,456.37 and 834.84 is: 1,152.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,054.75 : 1,456.37 = 834.84 : x
  2. Step 2: Convert to fraction form
    1,054.75/1,456.37 = 834.84/x
  3. Step 3: Cross multiply
    1,054.75x = 1,456.37 × 834.84
  4. Step 4: Simplify right side
    1,054.75x = 1,215,824.47
  5. Step 5: Solve for x
    x = 1,215,824.47/1,054.75
  6. Step 6: Final answer
    x = 1,152.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.