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Finding the Fourth Proportional to 997.01, 1,494.26 and 631.90

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Solution

The fourth proportional to 997.01, 1,494.26 and 631.90 is: 947.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.01 : 1,494.26 = 631.90 : x
  2. Step 2: Convert to fraction form
    997.01/1,494.26 = 631.90/x
  3. Step 3: Cross multiply
    997.01x = 1,494.26 × 631.90
  4. Step 4: Simplify right side
    997.01x = 944,222.89
  5. Step 5: Solve for x
    x = 944,222.89/997.01
  6. Step 6: Final answer
    x = 947.05

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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.