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Finding the Fourth Proportional to 1,098.63, 1,647.94 and 513.43

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Solution

The fourth proportional to 1,098.63, 1,647.94 and 513.43 is: 770.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.63 : 1,647.94 = 513.43 : x
  2. Step 2: Convert to fraction form
    1,098.63/1,647.94 = 513.43/x
  3. Step 3: Cross multiply
    1,098.63x = 1,647.94 × 513.43
  4. Step 4: Simplify right side
    1,098.63x = 846,099.27
  5. Step 5: Solve for x
    x = 846,099.27/1,098.63
  6. Step 6: Final answer
    x = 770.14

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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.