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Finding the Fourth Proportional to 914.82, 1,262.14 and 746.48

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Solution

The fourth proportional to 914.82, 1,262.14 and 746.48 is: 1,029.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.82 : 1,262.14 = 746.48 : x
  2. Step 2: Convert to fraction form
    914.82/1,262.14 = 746.48/x
  3. Step 3: Cross multiply
    914.82x = 1,262.14 × 746.48
  4. Step 4: Simplify right side
    914.82x = 942,160.66
  5. Step 5: Solve for x
    x = 942,160.66/914.82
  6. Step 6: Final answer
    x = 1,029.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.