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Finding the Fourth Proportional to 804.34, 1,206.73 and 414.62

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Solution

The fourth proportional to 804.34, 1,206.73 and 414.62 is: 622.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.34 : 1,206.73 = 414.62 : x
  2. Step 2: Convert to fraction form
    804.34/1,206.73 = 414.62/x
  3. Step 3: Cross multiply
    804.34x = 1,206.73 × 414.62
  4. Step 4: Simplify right side
    804.34x = 500,335.67
  5. Step 5: Solve for x
    x = 500,335.67/804.34
  6. Step 6: Final answer
    x = 622.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.