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Finding the Fourth Proportional to 1,803.57, 2,705.35 and 505.04

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Solution

The fourth proportional to 1,803.57, 2,705.35 and 505.04 is: 757.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,803.57 : 2,705.35 = 505.04 : x
  2. Step 2: Convert to fraction form
    1,803.57/2,705.35 = 505.04/x
  3. Step 3: Cross multiply
    1,803.57x = 2,705.35 × 505.04
  4. Step 4: Simplify right side
    1,803.57x = 1,366,296.12
  5. Step 5: Solve for x
    x = 1,366,296.12/1,803.57
  6. Step 6: Final answer
    x = 757.55

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