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Finding the Fourth Proportional to 785.29, 1,083.64 and 453.66

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Solution

The fourth proportional to 785.29, 1,083.64 and 453.66 is: 626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.29 : 1,083.64 = 453.66 : x
  2. Step 2: Convert to fraction form
    785.29/1,083.64 = 453.66/x
  3. Step 3: Cross multiply
    785.29x = 1,083.64 × 453.66
  4. Step 4: Simplify right side
    785.29x = 491,604.12
  5. Step 5: Solve for x
    x = 491,604.12/785.29
  6. Step 6: Final answer
    x = 626.02

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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.