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Finding the Fourth Proportional to 862.72, 1,291.80 and 680.48

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Solution

The fourth proportional to 862.72, 1,291.80 and 680.48 is: 1,018.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    862.72 : 1,291.80 = 680.48 : x
  2. Step 2: Convert to fraction form
    862.72/1,291.80 = 680.48/x
  3. Step 3: Cross multiply
    862.72x = 1,291.80 × 680.48
  4. Step 4: Simplify right side
    862.72x = 879,044.06
  5. Step 5: Solve for x
    x = 879,044.06/862.72
  6. Step 6: Final answer
    x = 1,018.92

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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.