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Finding the Fourth Proportional to 914.28, 1,261.73 and 541.25

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Solution

The fourth proportional to 914.28, 1,261.73 and 541.25 is: 746.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.28 : 1,261.73 = 541.25 : x
  2. Step 2: Convert to fraction form
    914.28/1,261.73 = 541.25/x
  3. Step 3: Cross multiply
    914.28x = 1,261.73 × 541.25
  4. Step 4: Simplify right side
    914.28x = 682,911.81
  5. Step 5: Solve for x
    x = 682,911.81/914.28
  6. Step 6: Final answer
    x = 746.94

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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.