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Finding the Fourth Proportional to 998.16, 1,376.52 and 624.62

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Solution

The fourth proportional to 998.16, 1,376.52 and 624.62 is: 861.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.16 : 1,376.52 = 624.62 : x
  2. Step 2: Convert to fraction form
    998.16/1,376.52 = 624.62/x
  3. Step 3: Cross multiply
    998.16x = 1,376.52 × 624.62
  4. Step 4: Simplify right side
    998.16x = 859,795.04
  5. Step 5: Solve for x
    x = 859,795.04/998.16
  6. Step 6: Final answer
    x = 861.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.