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Finding the Fourth Proportional to 988.26, 1,481.08 and 467.54

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Solution

The fourth proportional to 988.26, 1,481.08 and 467.54 is: 700.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.26 : 1,481.08 = 467.54 : x
  2. Step 2: Convert to fraction form
    988.26/1,481.08 = 467.54/x
  3. Step 3: Cross multiply
    988.26x = 1,481.08 × 467.54
  4. Step 4: Simplify right side
    988.26x = 692,464.14
  5. Step 5: Solve for x
    x = 692,464.14/988.26
  6. Step 6: Final answer
    x = 700.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.