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Finding the Fourth Proportional to 1,523.89, 2,285.50 and 483.97

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Solution

The fourth proportional to 1,523.89, 2,285.50 and 483.97 is: 725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.89 : 2,285.50 = 483.97 : x
  2. Step 2: Convert to fraction form
    1,523.89/2,285.50 = 483.97/x
  3. Step 3: Cross multiply
    1,523.89x = 2,285.50 × 483.97
  4. Step 4: Simplify right side
    1,523.89x = 1,106,113.44
  5. Step 5: Solve for x
    x = 1,106,113.44/1,523.89
  6. Step 6: Final answer
    x = 725.85

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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.