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Finding the Fourth Proportional to 1,253.70, 1,878.03 and 604.80

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Solution

The fourth proportional to 1,253.70, 1,878.03 and 604.80 is: 905.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.70 : 1,878.03 = 604.80 : x
  2. Step 2: Convert to fraction form
    1,253.70/1,878.03 = 604.80/x
  3. Step 3: Cross multiply
    1,253.70x = 1,878.03 × 604.80
  4. Step 4: Simplify right side
    1,253.70x = 1,135,832.54
  5. Step 5: Solve for x
    x = 1,135,832.54/1,253.70
  6. Step 6: Final answer
    x = 905.98

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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.