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Finding the Fourth Proportional to 732.58, 1,097.40 and 423.52

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Solution

The fourth proportional to 732.58, 1,097.40 and 423.52 is: 634.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.58 : 1,097.40 = 423.52 : x
  2. Step 2: Convert to fraction form
    732.58/1,097.40 = 423.52/x
  3. Step 3: Cross multiply
    732.58x = 1,097.40 × 423.52
  4. Step 4: Simplify right side
    732.58x = 464,770.85
  5. Step 5: Solve for x
    x = 464,770.85/732.58
  6. Step 6: Final answer
    x = 634.43

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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.