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Finding the Fourth Proportional to 886.38, 1,330.38 and 680.28

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Solution

The fourth proportional to 886.38, 1,330.38 and 680.28 is: 1,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.38 : 1,330.38 = 680.28 : x
  2. Step 2: Convert to fraction form
    886.38/1,330.38 = 680.28/x
  3. Step 3: Cross multiply
    886.38x = 1,330.38 × 680.28
  4. Step 4: Simplify right side
    886.38x = 905,030.91
  5. Step 5: Solve for x
    x = 905,030.91/886.38
  6. Step 6: Final answer
    x = 1,021.04

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Why These Related Problems?

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