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Finding the Fourth Proportional to 986.10, 1,476.80 and 829.16

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Solution

The fourth proportional to 986.10, 1,476.80 and 829.16 is: 1,241.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.10 : 1,476.80 = 829.16 : x
  2. Step 2: Convert to fraction form
    986.10/1,476.80 = 829.16/x
  3. Step 3: Cross multiply
    986.10x = 1,476.80 × 829.16
  4. Step 4: Simplify right side
    986.10x = 1,224,503.49
  5. Step 5: Solve for x
    x = 1,224,503.49/986.10
  6. Step 6: Final answer
    x = 1,241.76

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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.