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Finding the Fourth Proportional to 854.56, 1,282.08 and 546.40

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Solution

The fourth proportional to 854.56, 1,282.08 and 546.40 is: 819.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.56 : 1,282.08 = 546.40 : x
  2. Step 2: Convert to fraction form
    854.56/1,282.08 = 546.40/x
  3. Step 3: Cross multiply
    854.56x = 1,282.08 × 546.40
  4. Step 4: Simplify right side
    854.56x = 700,528.51
  5. Step 5: Solve for x
    x = 700,528.51/854.56
  6. Step 6: Final answer
    x = 819.75

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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.