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Finding the Fourth Proportional to 800.06, 1,104.08 and 450.74

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Solution

The fourth proportional to 800.06, 1,104.08 and 450.74 is: 622.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.06 : 1,104.08 = 450.74 : x
  2. Step 2: Convert to fraction form
    800.06/1,104.08 = 450.74/x
  3. Step 3: Cross multiply
    800.06x = 1,104.08 × 450.74
  4. Step 4: Simplify right side
    800.06x = 497,653.02
  5. Step 5: Solve for x
    x = 497,653.02/800.06
  6. Step 6: Final answer
    x = 622.02

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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.