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Finding the Fourth Proportional to 1,099.15, 1,516.42 and 706.41

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Solution

The fourth proportional to 1,099.15, 1,516.42 and 706.41 is: 974.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.15 : 1,516.42 = 706.41 : x
  2. Step 2: Convert to fraction form
    1,099.15/1,516.42 = 706.41/x
  3. Step 3: Cross multiply
    1,099.15x = 1,516.42 × 706.41
  4. Step 4: Simplify right side
    1,099.15x = 1,071,203.14
  5. Step 5: Solve for x
    x = 1,071,203.14/1,099.15
  6. Step 6: Final answer
    x = 974.57

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Why These Related Problems?

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