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Finding the Fourth Proportional to 988.53, 1,481.86 and 494.63

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Solution

The fourth proportional to 988.53, 1,481.86 and 494.63 is: 741.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.53 : 1,481.86 = 494.63 : x
  2. Step 2: Convert to fraction form
    988.53/1,481.86 = 494.63/x
  3. Step 3: Cross multiply
    988.53x = 1,481.86 × 494.63
  4. Step 4: Simplify right side
    988.53x = 732,972.41
  5. Step 5: Solve for x
    x = 732,972.41/988.53
  6. Step 6: Final answer
    x = 741.48

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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.