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Finding the Fourth Proportional to 1,017.75, 1,405.31 and 797.84

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Solution

The fourth proportional to 1,017.75, 1,405.31 and 797.84 is: 1,101.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,017.75 : 1,405.31 = 797.84 : x
  2. Step 2: Convert to fraction form
    1,017.75/1,405.31 = 797.84/x
  3. Step 3: Cross multiply
    1,017.75x = 1,405.31 × 797.84
  4. Step 4: Simplify right side
    1,017.75x = 1,121,201.51
  5. Step 5: Solve for x
    x = 1,121,201.51/1,017.75
  6. Step 6: Final answer
    x = 1,101.65

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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.