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Finding the Fourth Proportional to 1,098.73, 1,516.22 and 601.35

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Solution

The fourth proportional to 1,098.73, 1,516.22 and 601.35 is: 829.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.73 : 1,516.22 = 601.35 : x
  2. Step 2: Convert to fraction form
    1,098.73/1,516.22 = 601.35/x
  3. Step 3: Cross multiply
    1,098.73x = 1,516.22 × 601.35
  4. Step 4: Simplify right side
    1,098.73x = 911,775.89
  5. Step 5: Solve for x
    x = 911,775.89/1,098.73
  6. Step 6: Final answer
    x = 829.85

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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.