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Finding the Fourth Proportional to 735.37, 1,012.26 and 635.74

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Solution

The fourth proportional to 735.37, 1,012.26 and 635.74 is: 875.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    735.37 : 1,012.26 = 635.74 : x
  2. Step 2: Convert to fraction form
    735.37/1,012.26 = 635.74/x
  3. Step 3: Cross multiply
    735.37x = 1,012.26 × 635.74
  4. Step 4: Simplify right side
    735.37x = 643,531.64
  5. Step 5: Solve for x
    x = 643,531.64/735.37
  6. Step 6: Final answer
    x = 875.12

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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.