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Finding the Fourth Proportional to 820.46, 1,131.54 and 663.02

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Solution

The fourth proportional to 820.46, 1,131.54 and 663.02 is: 914.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.46 : 1,131.54 = 663.02 : x
  2. Step 2: Convert to fraction form
    820.46/1,131.54 = 663.02/x
  3. Step 3: Cross multiply
    820.46x = 1,131.54 × 663.02
  4. Step 4: Simplify right side
    820.46x = 750,233.65
  5. Step 5: Solve for x
    x = 750,233.65/820.46
  6. Step 6: Final answer
    x = 914.41

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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.