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Finding the Fourth Proportional to 1,738.06, 2,606.80 and 763.90

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Solution

The fourth proportional to 1,738.06, 2,606.80 and 763.90 is: 1,145.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738.06 : 2,606.80 = 763.90 : x
  2. Step 2: Convert to fraction form
    1,738.06/2,606.80 = 763.90/x
  3. Step 3: Cross multiply
    1,738.06x = 2,606.80 × 763.90
  4. Step 4: Simplify right side
    1,738.06x = 1,991,334.52
  5. Step 5: Solve for x
    x = 1,991,334.52/1,738.06
  6. Step 6: Final answer
    x = 1,145.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.