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Finding the Fourth Proportional to 1,254.53, 1,882.22 and 604.82

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Solution

The fourth proportional to 1,254.53, 1,882.22 and 604.82 is: 907.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.53 : 1,882.22 = 604.82 : x
  2. Step 2: Convert to fraction form
    1,254.53/1,882.22 = 604.82/x
  3. Step 3: Cross multiply
    1,254.53x = 1,882.22 × 604.82
  4. Step 4: Simplify right side
    1,254.53x = 1,138,391.87
  5. Step 5: Solve for x
    x = 1,138,391.87/1,254.53
  6. Step 6: Final answer
    x = 907.43

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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.