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Finding the Fourth Proportional to 1,803.82, 2,705.52 and 505.39

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Solution

The fourth proportional to 1,803.82, 2,705.52 and 505.39 is: 758.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.82 : 2,705.52 = 505.39 : x
  2. Step 2: Convert to fraction form
    1,803.82/2,705.52 = 505.39/x
  3. Step 3: Cross multiply
    1,803.82x = 2,705.52 × 505.39
  4. Step 4: Simplify right side
    1,803.82x = 1,367,342.75
  5. Step 5: Solve for x
    x = 1,367,342.75/1,803.82
  6. Step 6: Final answer
    x = 758.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.