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Finding the Fourth Proportional to 1,301.76, 1,796.40 and 797.44

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Solution

The fourth proportional to 1,301.76, 1,796.40 and 797.44 is: 1,100.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.76 : 1,796.40 = 797.44 : x
  2. Step 2: Convert to fraction form
    1,301.76/1,796.40 = 797.44/x
  3. Step 3: Cross multiply
    1,301.76x = 1,796.40 × 797.44
  4. Step 4: Simplify right side
    1,301.76x = 1,432,521.22
  5. Step 5: Solve for x
    x = 1,432,521.22/1,301.76
  6. Step 6: Final answer
    x = 1,100.45

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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.