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Finding the Fourth Proportional to 987.33, 1,480.92 and 338.05

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Solution

The fourth proportional to 987.33, 1,480.92 and 338.05 is: 507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.33 : 1,480.92 = 338.05 : x
  2. Step 2: Convert to fraction form
    987.33/1,480.92 = 338.05/x
  3. Step 3: Cross multiply
    987.33x = 1,480.92 × 338.05
  4. Step 4: Simplify right side
    987.33x = 500,625.01
  5. Step 5: Solve for x
    x = 500,625.01/987.33
  6. Step 6: Final answer
    x = 507.05

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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.