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Finding the Fourth Proportional to 914.06, 1,261.41 and 541.06

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Solution

The fourth proportional to 914.06, 1,261.41 and 541.06 is: 746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.06 : 1,261.41 = 541.06 : x
  2. Step 2: Convert to fraction form
    914.06/1,261.41 = 541.06/x
  3. Step 3: Cross multiply
    914.06x = 1,261.41 × 541.06
  4. Step 4: Simplify right side
    914.06x = 682,498.49
  5. Step 5: Solve for x
    x = 682,498.49/914.06
  6. Step 6: Final answer
    x = 746.67

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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.