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Finding the Fourth Proportional to 854.48, 1,283.84 and 546.46

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Solution

The fourth proportional to 854.48, 1,283.84 and 546.46 is: 821.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.48 : 1,283.84 = 546.46 : x
  2. Step 2: Convert to fraction form
    854.48/1,283.84 = 546.46/x
  3. Step 3: Cross multiply
    854.48x = 1,283.84 × 546.46
  4. Step 4: Simplify right side
    854.48x = 701,567.21
  5. Step 5: Solve for x
    x = 701,567.21/854.48
  6. Step 6: Final answer
    x = 821.05

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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.