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Finding the Fourth Proportional to 804.69, 1,206.96 and 256.83

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Solution

The fourth proportional to 804.69, 1,206.96 and 256.83 is: 385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.69 : 1,206.96 = 256.83 : x
  2. Step 2: Convert to fraction form
    804.69/1,206.96 = 256.83/x
  3. Step 3: Cross multiply
    804.69x = 1,206.96 × 256.83
  4. Step 4: Simplify right side
    804.69x = 309,983.54
  5. Step 5: Solve for x
    x = 309,983.54/804.69
  6. Step 6: Final answer
    x = 385.22

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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.