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Finding the Fourth Proportional to 784.05, 1,082.09 and 452.66

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Solution

The fourth proportional to 784.05, 1,082.09 and 452.66 is: 624.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.05 : 1,082.09 = 452.66 : x
  2. Step 2: Convert to fraction form
    784.05/1,082.09 = 452.66/x
  3. Step 3: Cross multiply
    784.05x = 1,082.09 × 452.66
  4. Step 4: Simplify right side
    784.05x = 489,814.58
  5. Step 5: Solve for x
    x = 489,814.58/784.05
  6. Step 6: Final answer
    x = 624.73

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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.