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Finding the Fourth Proportional to 886.25, 1,222.58 and 624.42

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Solution

The fourth proportional to 886.25, 1,222.58 and 624.42 is: 861.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.25 : 1,222.58 = 624.42 : x
  2. Step 2: Convert to fraction form
    886.25/1,222.58 = 624.42/x
  3. Step 3: Cross multiply
    886.25x = 1,222.58 × 624.42
  4. Step 4: Simplify right side
    886.25x = 763,404.96
  5. Step 5: Solve for x
    x = 763,404.96/886.25
  6. Step 6: Final answer
    x = 861.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.