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Finding the Fourth Proportional to 1,102.80, 1,660.62 and 814.80

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Solution

The fourth proportional to 1,102.80, 1,660.62 and 814.80 is: 1,226.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.80 : 1,660.62 = 814.80 : x
  2. Step 2: Convert to fraction form
    1,102.80/1,660.62 = 814.80/x
  3. Step 3: Cross multiply
    1,102.80x = 1,660.62 × 814.80
  4. Step 4: Simplify right side
    1,102.80x = 1,353,073.18
  5. Step 5: Solve for x
    x = 1,353,073.18/1,102.80
  6. Step 6: Final answer
    x = 1,226.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.