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Finding the Fourth Proportional to 987.08, 1,480.13 and 328.73

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Solution

The fourth proportional to 987.08, 1,480.13 and 328.73 is: 492.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.08 : 1,480.13 = 328.73 : x
  2. Step 2: Convert to fraction form
    987.08/1,480.13 = 328.73/x
  3. Step 3: Cross multiply
    987.08x = 1,480.13 × 328.73
  4. Step 4: Simplify right side
    987.08x = 486,556.94
  5. Step 5: Solve for x
    x = 486,556.94/987.08
  6. Step 6: Final answer
    x = 492.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.