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Finding the Fourth Proportional to 1,098.90, 1,516.73 and 657.05

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Solution

The fourth proportional to 1,098.90, 1,516.73 and 657.05 is: 906.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.90 : 1,516.73 = 657.05 : x
  2. Step 2: Convert to fraction form
    1,098.90/1,516.73 = 657.05/x
  3. Step 3: Cross multiply
    1,098.90x = 1,516.73 × 657.05
  4. Step 4: Simplify right side
    1,098.90x = 996,556.58
  5. Step 5: Solve for x
    x = 996,556.58/1,098.90
  6. Step 6: Final answer
    x = 906.87

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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.