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Finding the Fourth Proportional to 986.76, 1,480.25 and 362.23

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Solution

The fourth proportional to 986.76, 1,480.25 and 362.23 is: 543.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.76 : 1,480.25 = 362.23 : x
  2. Step 2: Convert to fraction form
    986.76/1,480.25 = 362.23/x
  3. Step 3: Cross multiply
    986.76x = 1,480.25 × 362.23
  4. Step 4: Simplify right side
    986.76x = 536,188.16
  5. Step 5: Solve for x
    x = 536,188.16/986.76
  6. Step 6: Final answer
    x = 543.38

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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.