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Finding the Fourth Proportional to 988.27, 1,481.65 and 598.18

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Solution

The fourth proportional to 988.27, 1,481.65 and 598.18 is: 896.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.27 : 1,481.65 = 598.18 : x
  2. Step 2: Convert to fraction form
    988.27/1,481.65 = 598.18/x
  3. Step 3: Cross multiply
    988.27x = 1,481.65 × 598.18
  4. Step 4: Simplify right side
    988.27x = 886,293.40
  5. Step 5: Solve for x
    x = 886,293.40/988.27
  6. Step 6: Final answer
    x = 896.81

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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.