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Finding the Fourth Proportional to 1,302.64, 1,796.82 and 798.26

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Solution

The fourth proportional to 1,302.64, 1,796.82 and 798.26 is: 1,101.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,302.64 : 1,796.82 = 798.26 : x
  2. Step 2: Convert to fraction form
    1,302.64/1,796.82 = 798.26/x
  3. Step 3: Cross multiply
    1,302.64x = 1,796.82 × 798.26
  4. Step 4: Simplify right side
    1,302.64x = 1,434,329.53
  5. Step 5: Solve for x
    x = 1,434,329.53/1,302.64
  6. Step 6: Final answer
    x = 1,101.09

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Why These Related Problems?

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