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Finding the Fourth Proportional to 930.98, 1,284.96 and 616.30

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Solution

The fourth proportional to 930.98, 1,284.96 and 616.30 is: 850.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    930.98 : 1,284.96 = 616.30 : x
  2. Step 2: Convert to fraction form
    930.98/1,284.96 = 616.30/x
  3. Step 3: Cross multiply
    930.98x = 1,284.96 × 616.30
  4. Step 4: Simplify right side
    930.98x = 791,920.85
  5. Step 5: Solve for x
    x = 791,920.85/930.98
  6. Step 6: Final answer
    x = 850.63

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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.