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Finding the Fourth Proportional to 737.25, 1,017.48 and 422.54

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Solution

The fourth proportional to 737.25, 1,017.48 and 422.54 is: 583.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.25 : 1,017.48 = 422.54 : x
  2. Step 2: Convert to fraction form
    737.25/1,017.48 = 422.54/x
  3. Step 3: Cross multiply
    737.25x = 1,017.48 × 422.54
  4. Step 4: Simplify right side
    737.25x = 429,918.80
  5. Step 5: Solve for x
    x = 429,918.80/737.25
  6. Step 6: Final answer
    x = 583.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.