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Finding the Fourth Proportional to 854.82, 1,282.64 and 421.88

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Solution

The fourth proportional to 854.82, 1,282.64 and 421.88 is: 633.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.82 : 1,282.64 = 421.88 : x
  2. Step 2: Convert to fraction form
    854.82/1,282.64 = 421.88/x
  3. Step 3: Cross multiply
    854.82x = 1,282.64 × 421.88
  4. Step 4: Simplify right side
    854.82x = 541,111.64
  5. Step 5: Solve for x
    x = 541,111.64/854.82
  6. Step 6: Final answer
    x = 633.01

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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.