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Finding the Fourth Proportional to 1,255.03, 1,882.97 and 605.32

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Solution

The fourth proportional to 1,255.03, 1,882.97 and 605.32 is: 908.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.03 : 1,882.97 = 605.32 : x
  2. Step 2: Convert to fraction form
    1,255.03/1,882.97 = 605.32/x
  3. Step 3: Cross multiply
    1,255.03x = 1,882.97 × 605.32
  4. Step 4: Simplify right side
    1,255.03x = 1,139,799.40
  5. Step 5: Solve for x
    x = 1,139,799.40/1,255.03
  6. Step 6: Final answer
    x = 908.18

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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.