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Finding the Fourth Proportional to 749.26, 1,027.37 and 675.28

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Solution

The fourth proportional to 749.26, 1,027.37 and 675.28 is: 925.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.26 : 1,027.37 = 675.28 : x
  2. Step 2: Convert to fraction form
    749.26/1,027.37 = 675.28/x
  3. Step 3: Cross multiply
    749.26x = 1,027.37 × 675.28
  4. Step 4: Simplify right side
    749.26x = 693,762.41
  5. Step 5: Solve for x
    x = 693,762.41/749.26
  6. Step 6: Final answer
    x = 925.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.