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Finding the Fourth Proportional to 731.58, 1,097.37 and 459.42

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Solution

The fourth proportional to 731.58, 1,097.37 and 459.42 is: 689.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.58 : 1,097.37 = 459.42 : x
  2. Step 2: Convert to fraction form
    731.58/1,097.37 = 459.42/x
  3. Step 3: Cross multiply
    731.58x = 1,097.37 × 459.42
  4. Step 4: Simplify right side
    731.58x = 504,153.73
  5. Step 5: Solve for x
    x = 504,153.73/731.58
  6. Step 6: Final answer
    x = 689.13

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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.