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Finding the Fourth Proportional to 730.35, 1,094.45 and 455.76

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Solution

The fourth proportional to 730.35, 1,094.45 and 455.76 is: 682.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.35 : 1,094.45 = 455.76 : x
  2. Step 2: Convert to fraction form
    730.35/1,094.45 = 455.76/x
  3. Step 3: Cross multiply
    730.35x = 1,094.45 × 455.76
  4. Step 4: Simplify right side
    730.35x = 498,804.25
  5. Step 5: Solve for x
    x = 498,804.25/730.35
  6. Step 6: Final answer
    x = 682.97

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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.