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Finding the Fourth Proportional to 1,276.74, 1,763.19 and 1,139.31

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Solution

The fourth proportional to 1,276.74, 1,763.19 and 1,139.31 is: 1,573.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.74 : 1,763.19 = 1,139.31 : x
  2. Step 2: Convert to fraction form
    1,276.74/1,763.19 = 1,139.31/x
  3. Step 3: Cross multiply
    1,276.74x = 1,763.19 × 1,139.31
  4. Step 4: Simplify right side
    1,276.74x = 2,008,820.00
  5. Step 5: Solve for x
    x = 2,008,820.00/1,276.74
  6. Step 6: Final answer
    x = 1,573.40

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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.