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Finding the Fourth Proportional to 1,037.72, 1,422.76 and 1,019.27

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Solution

The fourth proportional to 1,037.72, 1,422.76 and 1,019.27 is: 1,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037.72 : 1,422.76 = 1,019.27 : x
  2. Step 2: Convert to fraction form
    1,037.72/1,422.76 = 1,019.27/x
  3. Step 3: Cross multiply
    1,037.72x = 1,422.76 × 1,019.27
  4. Step 4: Simplify right side
    1,037.72x = 1,450,176.59
  5. Step 5: Solve for x
    x = 1,450,176.59/1,037.72
  6. Step 6: Final answer
    x = 1,397.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.