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Finding the Fourth Proportional to 1,416.90, 2,127.17 and 768.09

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Solution

The fourth proportional to 1,416.90, 2,127.17 and 768.09 is: 1,153.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,416.90 : 2,127.17 = 768.09 : x
  2. Step 2: Convert to fraction form
    1,416.90/2,127.17 = 768.09/x
  3. Step 3: Cross multiply
    1,416.90x = 2,127.17 × 768.09
  4. Step 4: Simplify right side
    1,416.90x = 1,633,858.01
  5. Step 5: Solve for x
    x = 1,633,858.01/1,416.90
  6. Step 6: Final answer
    x = 1,153.12

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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.