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Finding the Fourth Proportional to 1,224.98, 1,691.70 and 783.08

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Solution

The fourth proportional to 1,224.98, 1,691.70 and 783.08 is: 1,081.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,224.98 : 1,691.70 = 783.08 : x
  2. Step 2: Convert to fraction form
    1,224.98/1,691.70 = 783.08/x
  3. Step 3: Cross multiply
    1,224.98x = 1,691.70 × 783.08
  4. Step 4: Simplify right side
    1,224.98x = 1,324,736.44
  5. Step 5: Solve for x
    x = 1,324,736.44/1,224.98
  6. Step 6: Final answer
    x = 1,081.44

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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.