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Finding the Fourth Proportional to 1,298.96, 1,791.84 and 826.04

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Solution

The fourth proportional to 1,298.96, 1,791.84 and 826.04 is: 1,139.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,298.96 : 1,791.84 = 826.04 : x
  2. Step 2: Convert to fraction form
    1,298.96/1,791.84 = 826.04/x
  3. Step 3: Cross multiply
    1,298.96x = 1,791.84 × 826.04
  4. Step 4: Simplify right side
    1,298.96x = 1,480,131.51
  5. Step 5: Solve for x
    x = 1,480,131.51/1,298.96
  6. Step 6: Final answer
    x = 1,139.47

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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.