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Finding the Fourth Proportional to 1,460.86, 2,016 and 797.72

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Solution

The fourth proportional to 1,460.86, 2,016 and 797.72 is: 1,100.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,460.86 : 2,016 = 797.72 : x
  2. Step 2: Convert to fraction form
    1,460.86/2,016 = 797.72/x
  3. Step 3: Cross multiply
    1,460.86x = 2,016 × 797.72
  4. Step 4: Simplify right side
    1,460.86x = 1,608,203.52
  5. Step 5: Solve for x
    x = 1,608,203.52/1,460.86
  6. Step 6: Final answer
    x = 1,100.86

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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.