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Finding the Fourth Proportional to 730.76, 1,094.78 and 364.68

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Solution

The fourth proportional to 730.76, 1,094.78 and 364.68 is: 546.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.76 : 1,094.78 = 364.68 : x
  2. Step 2: Convert to fraction form
    730.76/1,094.78 = 364.68/x
  3. Step 3: Cross multiply
    730.76x = 1,094.78 × 364.68
  4. Step 4: Simplify right side
    730.76x = 399,244.37
  5. Step 5: Solve for x
    x = 399,244.37/730.76
  6. Step 6: Final answer
    x = 546.34

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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.