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Finding the Fourth Proportional to 827.16, 1,239.30 and 608.28

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Solution

The fourth proportional to 827.16, 1,239.30 and 608.28 is: 911.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.16 : 1,239.30 = 608.28 : x
  2. Step 2: Convert to fraction form
    827.16/1,239.30 = 608.28/x
  3. Step 3: Cross multiply
    827.16x = 1,239.30 × 608.28
  4. Step 4: Simplify right side
    827.16x = 753,841.40
  5. Step 5: Solve for x
    x = 753,841.40/827.16
  6. Step 6: Final answer
    x = 911.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.