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Finding the Fourth Proportional to 1,060.22, 1,462.10 and 797.78

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Solution

The fourth proportional to 1,060.22, 1,462.10 and 797.78 is: 1,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,060.22 : 1,462.10 = 797.78 : x
  2. Step 2: Convert to fraction form
    1,060.22/1,462.10 = 797.78/x
  3. Step 3: Cross multiply
    1,060.22x = 1,462.10 × 797.78
  4. Step 4: Simplify right side
    1,060.22x = 1,166,422.84
  5. Step 5: Solve for x
    x = 1,166,422.84/1,060.22
  6. Step 6: Final answer
    x = 1,100.18

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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.