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Finding the Fourth Proportional to 997.14, 1,494.93 and 631.16

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Solution

The fourth proportional to 997.14, 1,494.93 and 631.16 is: 946.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.14 : 1,494.93 = 631.16 : x
  2. Step 2: Convert to fraction form
    997.14/1,494.93 = 631.16/x
  3. Step 3: Cross multiply
    997.14x = 1,494.93 × 631.16
  4. Step 4: Simplify right side
    997.14x = 943,540.02
  5. Step 5: Solve for x
    x = 943,540.02/997.14
  6. Step 6: Final answer
    x = 946.25

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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.