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Finding the Fourth Proportional to 1,098.82, 1,516.27 and 601.43

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Solution

The fourth proportional to 1,098.82, 1,516.27 and 601.43 is: 829.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.82 : 1,516.27 = 601.43 : x
  2. Step 2: Convert to fraction form
    1,098.82/1,516.27 = 601.43/x
  3. Step 3: Cross multiply
    1,098.82x = 1,516.27 × 601.43
  4. Step 4: Simplify right side
    1,098.82x = 911,930.27
  5. Step 5: Solve for x
    x = 911,930.27/1,098.82
  6. Step 6: Final answer
    x = 829.92

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.