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Finding the Fourth Proportional to 997.02, 1,487.98 and 971.10

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Solution

The fourth proportional to 997.02, 1,487.98 and 971.10 is: 1,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.02 : 1,487.98 = 971.10 : x
  2. Step 2: Convert to fraction form
    997.02/1,487.98 = 971.10/x
  3. Step 3: Cross multiply
    997.02x = 1,487.98 × 971.10
  4. Step 4: Simplify right side
    997.02x = 1,444,972.37
  5. Step 5: Solve for x
    x = 1,444,972.37/997.02
  6. Step 6: Final answer
    x = 1,449.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.