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Finding the Fourth Proportional to 996.07, 1,496.63 and 631.03

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Solution

The fourth proportional to 996.07, 1,496.63 and 631.03 is: 948.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    996.07 : 1,496.63 = 631.03 : x
  2. Step 2: Convert to fraction form
    996.07/1,496.63 = 631.03/x
  3. Step 3: Cross multiply
    996.07x = 1,496.63 × 631.03
  4. Step 4: Simplify right side
    996.07x = 944,418.43
  5. Step 5: Solve for x
    x = 944,418.43/996.07
  6. Step 6: Final answer
    x = 948.14

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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.