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Finding the Fourth Proportional to 998.61, 1,488.38 and 968.82

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Solution

The fourth proportional to 998.61, 1,488.38 and 968.82 is: 1,443.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.61 : 1,488.38 = 968.82 : x
  2. Step 2: Convert to fraction form
    998.61/1,488.38 = 968.82/x
  3. Step 3: Cross multiply
    998.61x = 1,488.38 × 968.82
  4. Step 4: Simplify right side
    998.61x = 1,441,972.31
  5. Step 5: Solve for x
    x = 1,441,972.31/998.61
  6. Step 6: Final answer
    x = 1,443.98

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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.