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Finding the Fourth Proportional to 1,274.69, 1,758.94 and 777.47

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Solution

The fourth proportional to 1,274.69, 1,758.94 and 777.47 is: 1,072.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.69 : 1,758.94 = 777.47 : x
  2. Step 2: Convert to fraction form
    1,274.69/1,758.94 = 777.47/x
  3. Step 3: Cross multiply
    1,274.69x = 1,758.94 × 777.47
  4. Step 4: Simplify right side
    1,274.69x = 1,367,512.34
  5. Step 5: Solve for x
    x = 1,367,512.34/1,274.69
  6. Step 6: Final answer
    x = 1,072.82

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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.