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Finding the Fourth Proportional to 784.61, 1,083.13 and 490.31

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Solution

The fourth proportional to 784.61, 1,083.13 and 490.31 is: 676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.61 : 1,083.13 = 490.31 : x
  2. Step 2: Convert to fraction form
    784.61/1,083.13 = 490.31/x
  3. Step 3: Cross multiply
    784.61x = 1,083.13 × 490.31
  4. Step 4: Simplify right side
    784.61x = 531,062.83
  5. Step 5: Solve for x
    x = 531,062.83/784.61
  6. Step 6: Final answer
    x = 676.85

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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.