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Finding the Fourth Proportional to 1,410.80, 2,116.26 and 680.99

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Solution

The fourth proportional to 1,410.80, 2,116.26 and 680.99 is: 1,021.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410.80 : 2,116.26 = 680.99 : x
  2. Step 2: Convert to fraction form
    1,410.80/2,116.26 = 680.99/x
  3. Step 3: Cross multiply
    1,410.80x = 2,116.26 × 680.99
  4. Step 4: Simplify right side
    1,410.80x = 1,441,141.32
  5. Step 5: Solve for x
    x = 1,441,141.32/1,410.80
  6. Step 6: Final answer
    x = 1,021.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.