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Finding the Fourth Proportional to 804.58, 1,206.79 and 256.75

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Solution

The fourth proportional to 804.58, 1,206.79 and 256.75 is: 385.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.58 : 1,206.79 = 256.75 : x
  2. Step 2: Convert to fraction form
    804.58/1,206.79 = 256.75/x
  3. Step 3: Cross multiply
    804.58x = 1,206.79 × 256.75
  4. Step 4: Simplify right side
    804.58x = 309,843.33
  5. Step 5: Solve for x
    x = 309,843.33/804.58
  6. Step 6: Final answer
    x = 385.10

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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.