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Finding the Fourth Proportional to 901.16, 1,243.60 and 523.10

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Solution

The fourth proportional to 901.16, 1,243.60 and 523.10 is: 721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.16 : 1,243.60 = 523.10 : x
  2. Step 2: Convert to fraction form
    901.16/1,243.60 = 523.10/x
  3. Step 3: Cross multiply
    901.16x = 1,243.60 × 523.10
  4. Step 4: Simplify right side
    901.16x = 650,528.96
  5. Step 5: Solve for x
    x = 650,528.96/901.16
  6. Step 6: Final answer
    x = 721.88

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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.