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Finding the Fourth Proportional to 1,275.06, 1,759.14 and 777.54

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Solution

The fourth proportional to 1,275.06, 1,759.14 and 777.54 is: 1,072.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,275.06 : 1,759.14 = 777.54 : x
  2. Step 2: Convert to fraction form
    1,275.06/1,759.14 = 777.54/x
  3. Step 3: Cross multiply
    1,275.06x = 1,759.14 × 777.54
  4. Step 4: Simplify right side
    1,275.06x = 1,367,801.72
  5. Step 5: Solve for x
    x = 1,367,801.72/1,275.06
  6. Step 6: Final answer
    x = 1,072.74

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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.