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Finding the Fourth Proportional to 800.45, 1,104.54 and 446.36

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Solution

The fourth proportional to 800.45, 1,104.54 and 446.36 is: 615.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.45 : 1,104.54 = 446.36 : x
  2. Step 2: Convert to fraction form
    800.45/1,104.54 = 446.36/x
  3. Step 3: Cross multiply
    800.45x = 1,104.54 × 446.36
  4. Step 4: Simplify right side
    800.45x = 493,016.95
  5. Step 5: Solve for x
    x = 493,016.95/800.45
  6. Step 6: Final answer
    x = 615.93

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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.