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Finding the Fourth Proportional to 987.39, 1,481.29 and 980.51

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Solution

The fourth proportional to 987.39, 1,481.29 and 980.51 is: 1,470.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.39 : 1,481.29 = 980.51 : x
  2. Step 2: Convert to fraction form
    987.39/1,481.29 = 980.51/x
  3. Step 3: Cross multiply
    987.39x = 1,481.29 × 980.51
  4. Step 4: Simplify right side
    987.39x = 1,452,409.80
  5. Step 5: Solve for x
    x = 1,452,409.80/987.39
  6. Step 6: Final answer
    x = 1,470.96

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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.