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Finding the Fourth Proportional to 1,161.05, 1,601.93 and 898.61

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Solution

The fourth proportional to 1,161.05, 1,601.93 and 898.61 is: 1,239.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.05 : 1,601.93 = 898.61 : x
  2. Step 2: Convert to fraction form
    1,161.05/1,601.93 = 898.61/x
  3. Step 3: Cross multiply
    1,161.05x = 1,601.93 × 898.61
  4. Step 4: Simplify right side
    1,161.05x = 1,439,505.82
  5. Step 5: Solve for x
    x = 1,439,505.82/1,161.05
  6. Step 6: Final answer
    x = 1,239.83

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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.