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Finding the Fourth Proportional to 804.75, 1,206.44 and 414.74

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Solution

The fourth proportional to 804.75, 1,206.44 and 414.74 is: 621.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.75 : 1,206.44 = 414.74 : x
  2. Step 2: Convert to fraction form
    804.75/1,206.44 = 414.74/x
  3. Step 3: Cross multiply
    804.75x = 1,206.44 × 414.74
  4. Step 4: Simplify right side
    804.75x = 500,350.82
  5. Step 5: Solve for x
    x = 500,350.82/804.75
  6. Step 6: Final answer
    x = 621.75

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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.