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Finding the Fourth Proportional to 1,138.64, 1,571.27 and 746.33

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Solution

The fourth proportional to 1,138.64, 1,571.27 and 746.33 is: 1,029.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.64 : 1,571.27 = 746.33 : x
  2. Step 2: Convert to fraction form
    1,138.64/1,571.27 = 746.33/x
  3. Step 3: Cross multiply
    1,138.64x = 1,571.27 × 746.33
  4. Step 4: Simplify right side
    1,138.64x = 1,172,674.35
  5. Step 5: Solve for x
    x = 1,172,674.35/1,138.64
  6. Step 6: Final answer
    x = 1,029.89

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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.