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Finding the Fourth Proportional to 913.82, 1,261.14 and 540.80

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Solution

The fourth proportional to 913.82, 1,261.14 and 540.80 is: 746.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.82 : 1,261.14 = 540.80 : x
  2. Step 2: Convert to fraction form
    913.82/1,261.14 = 540.80/x
  3. Step 3: Cross multiply
    913.82x = 1,261.14 × 540.80
  4. Step 4: Simplify right side
    913.82x = 682,024.51
  5. Step 5: Solve for x
    x = 682,024.51/913.82
  6. Step 6: Final answer
    x = 746.34

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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.