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Finding the Fourth Proportional to 731.88, 1,097.10 and 406.58

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Solution

The fourth proportional to 731.88, 1,097.10 and 406.58 is: 609.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    731.88 : 1,097.10 = 406.58 : x
  2. Step 2: Convert to fraction form
    731.88/1,097.10 = 406.58/x
  3. Step 3: Cross multiply
    731.88x = 1,097.10 × 406.58
  4. Step 4: Simplify right side
    731.88x = 446,053.43
  5. Step 5: Solve for x
    x = 446,053.43/731.88
  6. Step 6: Final answer
    x = 609.46

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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.