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Finding the Fourth Proportional to 998.89, 1,490.78 and 972.97

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Solution

The fourth proportional to 998.89, 1,490.78 and 972.97 is: 1,452.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.89 : 1,490.78 = 972.97 : x
  2. Step 2: Convert to fraction form
    998.89/1,490.78 = 972.97/x
  3. Step 3: Cross multiply
    998.89x = 1,490.78 × 972.97
  4. Step 4: Simplify right side
    998.89x = 1,450,484.22
  5. Step 5: Solve for x
    x = 1,450,484.22/998.89
  6. Step 6: Final answer
    x = 1,452.10

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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.