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Finding the Fourth Proportional to 804.46, 1,110.18 and 450.38

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Solution

The fourth proportional to 804.46, 1,110.18 and 450.38 is: 621.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.46 : 1,110.18 = 450.38 : x
  2. Step 2: Convert to fraction form
    804.46/1,110.18 = 450.38/x
  3. Step 3: Cross multiply
    804.46x = 1,110.18 × 450.38
  4. Step 4: Simplify right side
    804.46x = 499,995.07
  5. Step 5: Solve for x
    x = 499,995.07/804.46
  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.