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Finding the Fourth Proportional to 735.22, 1,014.66 and 424.78

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Solution

The fourth proportional to 735.22, 1,014.66 and 424.78 is: 586.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.22 : 1,014.66 = 424.78 : x
  2. Step 2: Convert to fraction form
    735.22/1,014.66 = 424.78/x
  3. Step 3: Cross multiply
    735.22x = 1,014.66 × 424.78
  4. Step 4: Simplify right side
    735.22x = 431,007.27
  5. Step 5: Solve for x
    x = 431,007.27/735.22
  6. Step 6: Final answer
    x = 586.23

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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.