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Finding the Fourth Proportional to 1,476.92, 2,037.69 and 838.75

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Solution

The fourth proportional to 1,476.92, 2,037.69 and 838.75 is: 1,157.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.92 : 2,037.69 = 838.75 : x
  2. Step 2: Convert to fraction form
    1,476.92/2,037.69 = 838.75/x
  3. Step 3: Cross multiply
    1,476.92x = 2,037.69 × 838.75
  4. Step 4: Simplify right side
    1,476.92x = 1,709,112.49
  5. Step 5: Solve for x
    x = 1,709,112.49/1,476.92
  6. Step 6: Final answer
    x = 1,157.21

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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.