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Finding the Fourth Proportional to 1,149.92, 1,731.07 and 982.88

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Solution

The fourth proportional to 1,149.92, 1,731.07 and 982.88 is: 1,479.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.92 : 1,731.07 = 982.88 : x
  2. Step 2: Convert to fraction form
    1,149.92/1,731.07 = 982.88/x
  3. Step 3: Cross multiply
    1,149.92x = 1,731.07 × 982.88
  4. Step 4: Simplify right side
    1,149.92x = 1,701,434.08
  5. Step 5: Solve for x
    x = 1,701,434.08/1,149.92
  6. Step 6: Final answer
    x = 1,479.61

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.