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Finding the Fourth Proportional to 913.84, 1,261.20 and 540.92

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Solution

The fourth proportional to 913.84, 1,261.20 and 540.92 is: 746.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.84 : 1,261.20 = 540.92 : x
  2. Step 2: Convert to fraction form
    913.84/1,261.20 = 540.92/x
  3. Step 3: Cross multiply
    913.84x = 1,261.20 × 540.92
  4. Step 4: Simplify right side
    913.84x = 682,204.03
  5. Step 5: Solve for x
    x = 682,204.03/913.84
  6. Step 6: Final answer
    x = 746.52

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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.