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Finding the Fourth Proportional to 986.67, 1,480.06 and 328.61

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Solution

The fourth proportional to 986.67, 1,480.06 and 328.61 is: 492.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.67 : 1,480.06 = 328.61 : x
  2. Step 2: Convert to fraction form
    986.67/1,480.06 = 328.61/x
  3. Step 3: Cross multiply
    986.67x = 1,480.06 × 328.61
  4. Step 4: Simplify right side
    986.67x = 486,362.52
  5. Step 5: Solve for x
    x = 486,362.52/986.67
  6. Step 6: Final answer
    x = 492.93

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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.