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Finding the Fourth Proportional to 1,476.75, 2,037.97 and 813.65

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Solution

The fourth proportional to 1,476.75, 2,037.97 and 813.65 is: 1,122.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.75 : 2,037.97 = 813.65 : x
  2. Step 2: Convert to fraction form
    1,476.75/2,037.97 = 813.65/x
  3. Step 3: Cross multiply
    1,476.75x = 2,037.97 × 813.65
  4. Step 4: Simplify right side
    1,476.75x = 1,658,190.22
  5. Step 5: Solve for x
    x = 1,658,190.22/1,476.75
  6. Step 6: Final answer
    x = 1,122.86

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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.