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Finding the Fourth Proportional to 997.51, 1,493.46 and 753.28

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Solution

The fourth proportional to 997.51, 1,493.46 and 753.28 is: 1,127.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.51 : 1,493.46 = 753.28 : x
  2. Step 2: Convert to fraction form
    997.51/1,493.46 = 753.28/x
  3. Step 3: Cross multiply
    997.51x = 1,493.46 × 753.28
  4. Step 4: Simplify right side
    997.51x = 1,124,993.55
  5. Step 5: Solve for x
    x = 1,124,993.55/997.51
  6. Step 6: Final answer
    x = 1,127.80

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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.