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Finding the Fourth Proportional to 914.61, 1,262.82 and 825.92

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Solution

The fourth proportional to 914.61, 1,262.82 and 825.92 is: 1,140.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.61 : 1,262.82 = 825.92 : x
  2. Step 2: Convert to fraction form
    914.61/1,262.82 = 825.92/x
  3. Step 3: Cross multiply
    914.61x = 1,262.82 × 825.92
  4. Step 4: Simplify right side
    914.61x = 1,042,988.29
  5. Step 5: Solve for x
    x = 1,042,988.29/914.61
  6. Step 6: Final answer
    x = 1,140.36

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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.