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Finding the Fourth Proportional to 785.23, 1,083.64 and 453.65

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Solution

The fourth proportional to 785.23, 1,083.64 and 453.65 is: 626.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.23 : 1,083.64 = 453.65 : x
  2. Step 2: Convert to fraction form
    785.23/1,083.64 = 453.65/x
  3. Step 3: Cross multiply
    785.23x = 1,083.64 × 453.65
  4. Step 4: Simplify right side
    785.23x = 491,585.60
  5. Step 5: Solve for x
    x = 491,585.60/785.23
  6. Step 6: Final answer
    x = 626.04

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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.