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Finding the Fourth Proportional to 730.20, 1,097.34 and 437.74

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Solution

The fourth proportional to 730.20, 1,097.34 and 437.74 is: 657.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.20 : 1,097.34 = 437.74 : x
  2. Step 2: Convert to fraction form
    730.20/1,097.34 = 437.74/x
  3. Step 3: Cross multiply
    730.20x = 1,097.34 × 437.74
  4. Step 4: Simplify right side
    730.20x = 480,349.61
  5. Step 5: Solve for x
    x = 480,349.61/730.20
  6. Step 6: Final answer
    x = 657.83

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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.