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Finding the Fourth Proportional to 986.34, 1,486.16 and 816.78

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Solution

The fourth proportional to 986.34, 1,486.16 and 816.78 is: 1,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.34 : 1,486.16 = 816.78 : x
  2. Step 2: Convert to fraction form
    986.34/1,486.16 = 816.78/x
  3. Step 3: Cross multiply
    986.34x = 1,486.16 × 816.78
  4. Step 4: Simplify right side
    986.34x = 1,213,865.76
  5. Step 5: Solve for x
    x = 1,213,865.76/986.34
  6. Step 6: Final answer
    x = 1,230.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.