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Finding the Fourth Proportional to 732.60, 1,097.16 and 423.80

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Solution

The fourth proportional to 732.60, 1,097.16 and 423.80 is: 634.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.60 : 1,097.16 = 423.80 : x
  2. Step 2: Convert to fraction form
    732.60/1,097.16 = 423.80/x
  3. Step 3: Cross multiply
    732.60x = 1,097.16 × 423.80
  4. Step 4: Simplify right side
    732.60x = 464,976.41
  5. Step 5: Solve for x
    x = 464,976.41/732.60
  6. Step 6: Final answer
    x = 634.69

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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.