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Finding the Fourth Proportional to 998.34, 1,497.60 and 382.02

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Solution

The fourth proportional to 998.34, 1,497.60 and 382.02 is: 573.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    998.34 : 1,497.60 = 382.02 : x
  2. Step 2: Convert to fraction form
    998.34/1,497.60 = 382.02/x
  3. Step 3: Cross multiply
    998.34x = 1,497.60 × 382.02
  4. Step 4: Simplify right side
    998.34x = 572,113.15
  5. Step 5: Solve for x
    x = 572,113.15/998.34
  6. Step 6: Final answer
    x = 573.06

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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.