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Finding the Fourth Proportional to 996.91, 1,495.37 and 475.33

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Solution

The fourth proportional to 996.91, 1,495.37 and 475.33 is: 713.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.91 : 1,495.37 = 475.33 : x
  2. Step 2: Convert to fraction form
    996.91/1,495.37 = 475.33/x
  3. Step 3: Cross multiply
    996.91x = 1,495.37 × 475.33
  4. Step 4: Simplify right side
    996.91x = 710,794.22
  5. Step 5: Solve for x
    x = 710,794.22/996.91
  6. Step 6: Final answer
    x = 713.00

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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.