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Finding the Fourth Proportional to 731.23, 1,094.72 and 422.15

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Solution

The fourth proportional to 731.23, 1,094.72 and 422.15 is: 631.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.23 : 1,094.72 = 422.15 : x
  2. Step 2: Convert to fraction form
    731.23/1,094.72 = 422.15/x
  3. Step 3: Cross multiply
    731.23x = 1,094.72 × 422.15
  4. Step 4: Simplify right side
    731.23x = 462,128.46
  5. Step 5: Solve for x
    x = 462,128.46/731.23
  6. Step 6: Final answer
    x = 631.99

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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.