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Finding the Fourth Proportional to 1,803.69, 2,705.67 and 505.13

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Solution

The fourth proportional to 1,803.69, 2,705.67 and 505.13 is: 757.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.69 : 2,705.67 = 505.13 : x
  2. Step 2: Convert to fraction form
    1,803.69/2,705.67 = 505.13/x
  3. Step 3: Cross multiply
    1,803.69x = 2,705.67 × 505.13
  4. Step 4: Simplify right side
    1,803.69x = 1,366,701.56
  5. Step 5: Solve for x
    x = 1,366,701.56/1,803.69
  6. Step 6: Final answer
    x = 757.73

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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.