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Finding the Fourth Proportional to 1,476.82, 2,037.88 and 813.71

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Solution

The fourth proportional to 1,476.82, 2,037.88 and 813.71 is: 1,122.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.82 : 2,037.88 = 813.71 : x
  2. Step 2: Convert to fraction form
    1,476.82/2,037.88 = 813.71/x
  3. Step 3: Cross multiply
    1,476.82x = 2,037.88 × 813.71
  4. Step 4: Simplify right side
    1,476.82x = 1,658,243.33
  5. Step 5: Solve for x
    x = 1,658,243.33/1,476.82
  6. Step 6: Final answer
    x = 1,122.85

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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.