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Finding the Fourth Proportional to 784.25, 1,082.19 and 452.66

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Solution

The fourth proportional to 784.25, 1,082.19 and 452.66 is: 624.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.25 : 1,082.19 = 452.66 : x
  2. Step 2: Convert to fraction form
    784.25/1,082.19 = 452.66/x
  3. Step 3: Cross multiply
    784.25x = 1,082.19 × 452.66
  4. Step 4: Simplify right side
    784.25x = 489,860.41
  5. Step 5: Solve for x
    x = 489,860.41/784.25
  6. Step 6: Final answer
    x = 624.62

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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.