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Finding the Fourth Proportional to 820.22, 1,131.80 and 488.57

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Solution

The fourth proportional to 820.22, 1,131.80 and 488.57 is: 674.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.22 : 1,131.80 = 488.57 : x
  2. Step 2: Convert to fraction form
    820.22/1,131.80 = 488.57/x
  3. Step 3: Cross multiply
    820.22x = 1,131.80 × 488.57
  4. Step 4: Simplify right side
    820.22x = 552,955.42
  5. Step 5: Solve for x
    x = 552,955.42/820.22
  6. Step 6: Final answer
    x = 674.16

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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.