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Finding the Fourth Proportional to 735.43, 1,013.83 and 560.47

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Solution

The fourth proportional to 735.43, 1,013.83 and 560.47 is: 772.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.43 : 1,013.83 = 560.47 : x
  2. Step 2: Convert to fraction form
    735.43/1,013.83 = 560.47/x
  3. Step 3: Cross multiply
    735.43x = 1,013.83 × 560.47
  4. Step 4: Simplify right side
    735.43x = 568,221.30
  5. Step 5: Solve for x
    x = 568,221.30/735.43
  6. Step 6: Final answer
    x = 772.64

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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.