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Finding the Fourth Proportional to 901.06, 1,349.07 and 461.37

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Solution

The fourth proportional to 901.06, 1,349.07 and 461.37 is: 690.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.06 : 1,349.07 = 461.37 : x
  2. Step 2: Convert to fraction form
    901.06/1,349.07 = 461.37/x
  3. Step 3: Cross multiply
    901.06x = 1,349.07 × 461.37
  4. Step 4: Simplify right side
    901.06x = 622,420.43
  5. Step 5: Solve for x
    x = 622,420.43/901.06
  6. Step 6: Final answer
    x = 690.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.