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Finding the Fourth Proportional to 1,476.74, 2,037.86 and 813.59

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Solution

The fourth proportional to 1,476.74, 2,037.86 and 813.59 is: 1,122.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.74 : 2,037.86 = 813.59 : x
  2. Step 2: Convert to fraction form
    1,476.74/2,037.86 = 813.59/x
  3. Step 3: Cross multiply
    1,476.74x = 2,037.86 × 813.59
  4. Step 4: Simplify right side
    1,476.74x = 1,657,982.52
  5. Step 5: Solve for x
    x = 1,657,982.52/1,476.74
  6. Step 6: Final answer
    x = 1,122.74

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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.