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Finding the Fourth Proportional to 995.06, 1,490.32 and 475.43

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Solution

The fourth proportional to 995.06, 1,490.32 and 475.43 is: 712.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    995.06 : 1,490.32 = 475.43 : x
  2. Step 2: Convert to fraction form
    995.06/1,490.32 = 475.43/x
  3. Step 3: Cross multiply
    995.06x = 1,490.32 × 475.43
  4. Step 4: Simplify right side
    995.06x = 708,543.92
  5. Step 5: Solve for x
    x = 708,543.92/995.06
  6. Step 6: Final answer
    x = 712.06

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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.