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Finding the Fourth Proportional to 1,872.53, 2,808.80 and 485.75

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Solution

The fourth proportional to 1,872.53, 2,808.80 and 485.75 is: 728.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,872.53 : 2,808.80 = 485.75 : x
  2. Step 2: Convert to fraction form
    1,872.53/2,808.80 = 485.75/x
  3. Step 3: Cross multiply
    1,872.53x = 2,808.80 × 485.75
  4. Step 4: Simplify right side
    1,872.53x = 1,364,383.59
  5. Step 5: Solve for x
    x = 1,364,383.59/1,872.53
  6. Step 6: Final answer
    x = 728.63

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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.