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Finding the Fourth Proportional to 823.26, 1,134.36 and 626.43

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Solution

The fourth proportional to 823.26, 1,134.36 and 626.43 is: 863.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    823.26 : 1,134.36 = 626.43 : x
  2. Step 2: Convert to fraction form
    823.26/1,134.36 = 626.43/x
  3. Step 3: Cross multiply
    823.26x = 1,134.36 × 626.43
  4. Step 4: Simplify right side
    823.26x = 710,597.13
  5. Step 5: Solve for x
    x = 710,597.13/823.26
  6. Step 6: Final answer
    x = 863.15

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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.