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Finding the Fourth Proportional to 913.46, 1,376.29 and 826.91

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Solution

The fourth proportional to 913.46, 1,376.29 and 826.91 is: 1,245.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.46 : 1,376.29 = 826.91 : x
  2. Step 2: Convert to fraction form
    913.46/1,376.29 = 826.91/x
  3. Step 3: Cross multiply
    913.46x = 1,376.29 × 826.91
  4. Step 4: Simplify right side
    913.46x = 1,138,061.08
  5. Step 5: Solve for x
    x = 1,138,061.08/913.46
  6. Step 6: Final answer
    x = 1,245.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.