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Finding the Fourth Proportional to 784.23, 1,082.26 and 452.65

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Solution

The fourth proportional to 784.23, 1,082.26 and 452.65 is: 624.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.23 : 1,082.26 = 452.65 : x
  2. Step 2: Convert to fraction form
    784.23/1,082.26 = 452.65/x
  3. Step 3: Cross multiply
    784.23x = 1,082.26 × 452.65
  4. Step 4: Simplify right side
    784.23x = 489,877.31
  5. Step 5: Solve for x
    x = 489,877.31/784.23
  6. Step 6: Final answer
    x = 624.66

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.