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Finding the Fourth Proportional to 1,099.19, 1,516.86 and 601.82

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Solution

The fourth proportional to 1,099.19, 1,516.86 and 601.82 is: 830.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.19 : 1,516.86 = 601.82 : x
  2. Step 2: Convert to fraction form
    1,099.19/1,516.86 = 601.82/x
  3. Step 3: Cross multiply
    1,099.19x = 1,516.86 × 601.82
  4. Step 4: Simplify right side
    1,099.19x = 912,876.69
  5. Step 5: Solve for x
    x = 912,876.69/1,099.19
  6. Step 6: Final answer
    x = 830.50

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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.