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Finding the Fourth Proportional to 1,293.83, 1,784.91 and 796.29

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Solution

The fourth proportional to 1,293.83, 1,784.91 and 796.29 is: 1,098.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,293.83 : 1,784.91 = 796.29 : x
  2. Step 2: Convert to fraction form
    1,293.83/1,784.91 = 796.29/x
  3. Step 3: Cross multiply
    1,293.83x = 1,784.91 × 796.29
  4. Step 4: Simplify right side
    1,293.83x = 1,421,302.28
  5. Step 5: Solve for x
    x = 1,421,302.28/1,293.83
  6. Step 6: Final answer
    x = 1,098.52

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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.