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Finding the Fourth Proportional to 804.60, 1,206.77 and 256.64

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Solution

The fourth proportional to 804.60, 1,206.77 and 256.64 is: 384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.60 : 1,206.77 = 256.64 : x
  2. Step 2: Convert to fraction form
    804.60/1,206.77 = 256.64/x
  3. Step 3: Cross multiply
    804.60x = 1,206.77 × 256.64
  4. Step 4: Simplify right side
    804.60x = 309,698.14
  5. Step 5: Solve for x
    x = 309,698.14/804.60
  6. Step 6: Final answer
    x = 384.91

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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.