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Finding the Fourth Proportional to 1,097.89, 1,516.25 and 890.12

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Solution

The fourth proportional to 1,097.89, 1,516.25 and 890.12 is: 1,229.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,097.89 : 1,516.25 = 890.12 : x
  2. Step 2: Convert to fraction form
    1,097.89/1,516.25 = 890.12/x
  3. Step 3: Cross multiply
    1,097.89x = 1,516.25 × 890.12
  4. Step 4: Simplify right side
    1,097.89x = 1,349,650.47
  5. Step 5: Solve for x
    x = 1,349,650.47/1,097.89
  6. Step 6: Final answer
    x = 1,229.32

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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.