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Finding the Fourth Proportional to 1,099.45, 1,516.74 and 657.10

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Solution

The fourth proportional to 1,099.45, 1,516.74 and 657.10 is: 906.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,099.45 : 1,516.74 = 657.10 : x
  2. Step 2: Convert to fraction form
    1,099.45/1,516.74 = 657.10/x
  3. Step 3: Cross multiply
    1,099.45x = 1,516.74 × 657.10
  4. Step 4: Simplify right side
    1,099.45x = 996,649.85
  5. Step 5: Solve for x
    x = 996,649.85/1,099.45
  6. Step 6: Final answer
    x = 906.50

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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.