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Finding the Fourth Proportional to 1,298.97, 1,793.79 and 834.03

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Solution

The fourth proportional to 1,298.97, 1,793.79 and 834.03 is: 1,151.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.97 : 1,793.79 = 834.03 : x
  2. Step 2: Convert to fraction form
    1,298.97/1,793.79 = 834.03/x
  3. Step 3: Cross multiply
    1,298.97x = 1,793.79 × 834.03
  4. Step 4: Simplify right side
    1,298.97x = 1,496,074.67
  5. Step 5: Solve for x
    x = 1,496,074.67/1,298.97
  6. Step 6: Final answer
    x = 1,151.74

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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.