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Finding the Fourth Proportional to 1,274.29, 1,757.90 and 801.97

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Solution

The fourth proportional to 1,274.29, 1,757.90 and 801.97 is: 1,106.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.29 : 1,757.90 = 801.97 : x
  2. Step 2: Convert to fraction form
    1,274.29/1,757.90 = 801.97/x
  3. Step 3: Cross multiply
    1,274.29x = 1,757.90 × 801.97
  4. Step 4: Simplify right side
    1,274.29x = 1,409,780.67
  5. Step 5: Solve for x
    x = 1,409,780.67/1,274.29
  6. Step 6: Final answer
    x = 1,106.33

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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.