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Finding the Fourth Proportional to 913.94, 1,261.14 and 540.95

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Solution

The fourth proportional to 913.94, 1,261.14 and 540.95 is: 746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.94 : 1,261.14 = 540.95 : x
  2. Step 2: Convert to fraction form
    913.94/1,261.14 = 540.95/x
  3. Step 3: Cross multiply
    913.94x = 1,261.14 × 540.95
  4. Step 4: Simplify right side
    913.94x = 682,213.68
  5. Step 5: Solve for x
    x = 682,213.68/913.94
  6. Step 6: Final answer
    x = 746.45

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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.