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Finding the Fourth Proportional to 854.69, 1,284.09 and 547.14

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Solution

The fourth proportional to 854.69, 1,284.09 and 547.14 is: 822.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.69 : 1,284.09 = 547.14 : x
  2. Step 2: Convert to fraction form
    854.69/1,284.09 = 547.14/x
  3. Step 3: Cross multiply
    854.69x = 1,284.09 × 547.14
  4. Step 4: Simplify right side
    854.69x = 702,577.00
  5. Step 5: Solve for x
    x = 702,577.00/854.69
  6. Step 6: Final answer
    x = 822.03

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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.