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Finding the Fourth Proportional to 730.52, 1,008.42 and 543.68

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Solution

The fourth proportional to 730.52, 1,008.42 and 543.68 is: 750.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.52 : 1,008.42 = 543.68 : x
  2. Step 2: Convert to fraction form
    730.52/1,008.42 = 543.68/x
  3. Step 3: Cross multiply
    730.52x = 1,008.42 × 543.68
  4. Step 4: Simplify right side
    730.52x = 548,257.79
  5. Step 5: Solve for x
    x = 548,257.79/730.52
  6. Step 6: Final answer
    x = 750.50

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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.