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Finding the Fourth Proportional to 749.76, 1,028.06 and 675.78

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Solution

The fourth proportional to 749.76, 1,028.06 and 675.78 is: 926.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.76 : 1,028.06 = 675.78 : x
  2. Step 2: Convert to fraction form
    749.76/1,028.06 = 675.78/x
  3. Step 3: Cross multiply
    749.76x = 1,028.06 × 675.78
  4. Step 4: Simplify right side
    749.76x = 694,742.39
  5. Step 5: Solve for x
    x = 694,742.39/749.76
  6. Step 6: Final answer
    x = 926.62

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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.