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Finding the Fourth Proportional to 1,099.83, 1,516.98 and 657.39

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Solution

The fourth proportional to 1,099.83, 1,516.98 and 657.39 is: 906.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.83 : 1,516.98 = 657.39 : x
  2. Step 2: Convert to fraction form
    1,099.83/1,516.98 = 657.39/x
  3. Step 3: Cross multiply
    1,099.83x = 1,516.98 × 657.39
  4. Step 4: Simplify right side
    1,099.83x = 997,247.48
  5. Step 5: Solve for x
    x = 997,247.48/1,099.83
  6. Step 6: Final answer
    x = 906.73

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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.