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Finding the Fourth Proportional to 1,274.89, 1,759.89 and 777.71

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Solution

The fourth proportional to 1,274.89, 1,759.89 and 777.71 is: 1,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.89 : 1,759.89 = 777.71 : x
  2. Step 2: Convert to fraction form
    1,274.89/1,759.89 = 777.71/x
  3. Step 3: Cross multiply
    1,274.89x = 1,759.89 × 777.71
  4. Step 4: Simplify right side
    1,274.89x = 1,368,671.36
  5. Step 5: Solve for x
    x = 1,368,671.36/1,274.89
  6. Step 6: Final answer
    x = 1,073.56

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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.