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Finding the Fourth Proportional to 1,330.43, 1,836.24 and 771.26

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Solution

The fourth proportional to 1,330.43, 1,836.24 and 771.26 is: 1,064.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,330.43 : 1,836.24 = 771.26 : x
  2. Step 2: Convert to fraction form
    1,330.43/1,836.24 = 771.26/x
  3. Step 3: Cross multiply
    1,330.43x = 1,836.24 × 771.26
  4. Step 4: Simplify right side
    1,330.43x = 1,416,218.46
  5. Step 5: Solve for x
    x = 1,416,218.46/1,330.43
  6. Step 6: Final answer
    x = 1,064.48

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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.