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Finding the Fourth Proportional to 730.43, 1,007.86 and 435.73

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Solution

The fourth proportional to 730.43, 1,007.86 and 435.73 is: 601.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.43 : 1,007.86 = 435.73 : x
  2. Step 2: Convert to fraction form
    730.43/1,007.86 = 435.73/x
  3. Step 3: Cross multiply
    730.43x = 1,007.86 × 435.73
  4. Step 4: Simplify right side
    730.43x = 439,151.23
  5. Step 5: Solve for x
    x = 439,151.23/730.43
  6. Step 6: Final answer
    x = 601.22

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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.