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Finding the Fourth Proportional to 1,289.05, 1,930.10 and 898.22

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Solution

The fourth proportional to 1,289.05, 1,930.10 and 898.22 is: 1,344.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.05 : 1,930.10 = 898.22 : x
  2. Step 2: Convert to fraction form
    1,289.05/1,930.10 = 898.22/x
  3. Step 3: Cross multiply
    1,289.05x = 1,930.10 × 898.22
  4. Step 4: Simplify right side
    1,289.05x = 1,733,654.76
  5. Step 5: Solve for x
    x = 1,733,654.76/1,289.05
  6. Step 6: Final answer
    x = 1,344.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.