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Finding the Fourth Proportional to 782.03, 1,079.16 and 450.41

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Solution

The fourth proportional to 782.03, 1,079.16 and 450.41 is: 621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    782.03 : 1,079.16 = 450.41 : x
  2. Step 2: Convert to fraction form
    782.03/1,079.16 = 450.41/x
  3. Step 3: Cross multiply
    782.03x = 1,079.16 × 450.41
  4. Step 4: Simplify right side
    782.03x = 486,057.37
  5. Step 5: Solve for x
    x = 486,057.37/782.03
  6. Step 6: Final answer
    x = 621.53

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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.