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Finding the Fourth Proportional to 1,476.33, 2,037.28 and 813.23

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Solution

The fourth proportional to 1,476.33, 2,037.28 and 813.23 is: 1,122.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.33 : 2,037.28 = 813.23 : x
  2. Step 2: Convert to fraction form
    1,476.33/2,037.28 = 813.23/x
  3. Step 3: Cross multiply
    1,476.33x = 2,037.28 × 813.23
  4. Step 4: Simplify right side
    1,476.33x = 1,656,777.21
  5. Step 5: Solve for x
    x = 1,656,777.21/1,476.33
  6. Step 6: Final answer
    x = 1,122.23

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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.