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Finding the Fourth Proportional to 784.73, 1,083.23 and 490.07

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Solution

The fourth proportional to 784.73, 1,083.23 and 490.07 is: 676.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.73 : 1,083.23 = 490.07 : x
  2. Step 2: Convert to fraction form
    784.73/1,083.23 = 490.07/x
  3. Step 3: Cross multiply
    784.73x = 1,083.23 × 490.07
  4. Step 4: Simplify right side
    784.73x = 530,850.66
  5. Step 5: Solve for x
    x = 530,850.66/784.73
  6. Step 6: Final answer
    x = 676.48

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Double scale
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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.