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Finding the Fourth Proportional to 784.89, 1,084.54 and 620.41

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Solution

The fourth proportional to 784.89, 1,084.54 and 620.41 is: 857.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.89 : 1,084.54 = 620.41 : x
  2. Step 2: Convert to fraction form
    784.89/1,084.54 = 620.41/x
  3. Step 3: Cross multiply
    784.89x = 1,084.54 × 620.41
  4. Step 4: Simplify right side
    784.89x = 672,858.40
  5. Step 5: Solve for x
    x = 672,858.40/784.89
  6. Step 6: Final answer
    x = 857.26

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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.