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Finding the Fourth Proportional to 784.82, 1,083.01 and 453.26

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Solution

The fourth proportional to 784.82, 1,083.01 and 453.26 is: 625.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.82 : 1,083.01 = 453.26 : x
  2. Step 2: Convert to fraction form
    784.82/1,083.01 = 453.26/x
  3. Step 3: Cross multiply
    784.82x = 1,083.01 × 453.26
  4. Step 4: Simplify right side
    784.82x = 490,885.11
  5. Step 5: Solve for x
    x = 490,885.11/784.82
  6. Step 6: Final answer
    x = 625.47

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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.