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Finding the Fourth Proportional to 986.92, 1,480.61 and 293.61

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Solution

The fourth proportional to 986.92, 1,480.61 and 293.61 is: 440.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    986.92 : 1,480.61 = 293.61 : x
  2. Step 2: Convert to fraction form
    986.92/1,480.61 = 293.61/x
  3. Step 3: Cross multiply
    986.92x = 1,480.61 × 293.61
  4. Step 4: Simplify right side
    986.92x = 434,721.90
  5. Step 5: Solve for x
    x = 434,721.90/986.92
  6. Step 6: Final answer
    x = 440.48

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1.5x scale

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.