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Finding the Fourth Proportional to 1,138.05, 1,571.81 and 1,013.72

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Solution

The fourth proportional to 1,138.05, 1,571.81 and 1,013.72 is: 1,400.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.05 : 1,571.81 = 1,013.72 : x
  2. Step 2: Convert to fraction form
    1,138.05/1,571.81 = 1,013.72/x
  3. Step 3: Cross multiply
    1,138.05x = 1,571.81 × 1,013.72
  4. Step 4: Simplify right side
    1,138.05x = 1,593,362.31
  5. Step 5: Solve for x
    x = 1,593,362.31/1,138.05
  6. Step 6: Final answer
    x = 1,400.08

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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.