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Finding the Fourth Proportional to 886.38, 1,224.92 and 728.76

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Solution

The fourth proportional to 886.38, 1,224.92 and 728.76 is: 1,007.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.38 : 1,224.92 = 728.76 : x
  2. Step 2: Convert to fraction form
    886.38/1,224.92 = 728.76/x
  3. Step 3: Cross multiply
    886.38x = 1,224.92 × 728.76
  4. Step 4: Simplify right side
    886.38x = 892,679.11
  5. Step 5: Solve for x
    x = 892,679.11/886.38
  6. Step 6: Final answer
    x = 1,007.11

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1.5x scale

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.