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Finding the Fourth Proportional to 913.25, 1,260.27 and 540.27

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Solution

The fourth proportional to 913.25, 1,260.27 and 540.27 is: 745.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.25 : 1,260.27 = 540.27 : x
  2. Step 2: Convert to fraction form
    913.25/1,260.27 = 540.27/x
  3. Step 3: Cross multiply
    913.25x = 1,260.27 × 540.27
  4. Step 4: Simplify right side
    913.25x = 680,886.07
  5. Step 5: Solve for x
    x = 680,886.07/913.25
  6. Step 6: Final answer
    x = 745.56

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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.