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Finding the Fourth Proportional to 730.43, 1,007.76 and 435.50

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Solution

The fourth proportional to 730.43, 1,007.76 and 435.50 is: 600.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.43 : 1,007.76 = 435.50 : x
  2. Step 2: Convert to fraction form
    730.43/1,007.76 = 435.50/x
  3. Step 3: Cross multiply
    730.43x = 1,007.76 × 435.50
  4. Step 4: Simplify right side
    730.43x = 438,879.48
  5. Step 5: Solve for x
    x = 438,879.48/730.43
  6. Step 6: Final answer
    x = 600.85

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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.