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Finding the Fourth Proportional to 730.78, 1,007.97 and 435.82

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Solution

The fourth proportional to 730.78, 1,007.97 and 435.82 is: 601.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.78 : 1,007.97 = 435.82 : x
  2. Step 2: Convert to fraction form
    730.78/1,007.97 = 435.82/x
  3. Step 3: Cross multiply
    730.78x = 1,007.97 × 435.82
  4. Step 4: Simplify right side
    730.78x = 439,286.27
  5. Step 5: Solve for x
    x = 439,286.27/730.78
  6. Step 6: Final answer
    x = 601.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.