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Finding the Fourth Proportional to 1,377.35, 1,900.45 and 873.36

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Solution

The fourth proportional to 1,377.35, 1,900.45 and 873.36 is: 1,205.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,377.35 : 1,900.45 = 873.36 : x
  2. Step 2: Convert to fraction form
    1,377.35/1,900.45 = 873.36/x
  3. Step 3: Cross multiply
    1,377.35x = 1,900.45 × 873.36
  4. Step 4: Simplify right side
    1,377.35x = 1,659,777.01
  5. Step 5: Solve for x
    x = 1,659,777.01/1,377.35
  6. Step 6: Final answer
    x = 1,205.05

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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.