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Finding the Fourth Proportional to 854.58, 1,284.33 and 567.84

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Solution

The fourth proportional to 854.58, 1,284.33 and 567.84 is: 853.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.58 : 1,284.33 = 567.84 : x
  2. Step 2: Convert to fraction form
    854.58/1,284.33 = 567.84/x
  3. Step 3: Cross multiply
    854.58x = 1,284.33 × 567.84
  4. Step 4: Simplify right side
    854.58x = 729,293.95
  5. Step 5: Solve for x
    x = 729,293.95/854.58
  6. Step 6: Final answer
    x = 853.39

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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.