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Finding the Fourth Proportional to 914.52, 1,262.23 and 764.97

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Solution

The fourth proportional to 914.52, 1,262.23 and 764.97 is: 1,055.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.52 : 1,262.23 = 764.97 : x
  2. Step 2: Convert to fraction form
    914.52/1,262.23 = 764.97/x
  3. Step 3: Cross multiply
    914.52x = 1,262.23 × 764.97
  4. Step 4: Simplify right side
    914.52x = 965,569.29
  5. Step 5: Solve for x
    x = 965,569.29/914.52
  6. Step 6: Final answer
    x = 1,055.83

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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.