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Finding the Fourth Proportional to 782.23, 1,079.48 and 450.65

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Solution

The fourth proportional to 782.23, 1,079.48 and 450.65 is: 621.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.23 : 1,079.48 = 450.65 : x
  2. Step 2: Convert to fraction form
    782.23/1,079.48 = 450.65/x
  3. Step 3: Cross multiply
    782.23x = 1,079.48 × 450.65
  4. Step 4: Simplify right side
    782.23x = 486,468.95
  5. Step 5: Solve for x
    x = 486,468.95/782.23
  6. Step 6: Final answer
    x = 621.90

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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.