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Finding the Fourth Proportional to 914.84, 1,262.76 and 682.28

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Solution

The fourth proportional to 914.84, 1,262.76 and 682.28 is: 941.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.84 : 1,262.76 = 682.28 : x
  2. Step 2: Convert to fraction form
    914.84/1,262.76 = 682.28/x
  3. Step 3: Cross multiply
    914.84x = 1,262.76 × 682.28
  4. Step 4: Simplify right side
    914.84x = 861,555.89
  5. Step 5: Solve for x
    x = 861,555.89/914.84
  6. Step 6: Final answer
    x = 941.76

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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.