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Finding the Fourth Proportional to 1,748.09, 2,620.65 and 773.66

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Solution

The fourth proportional to 1,748.09, 2,620.65 and 773.66 is: 1,159.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,748.09 : 2,620.65 = 773.66 : x
  2. Step 2: Convert to fraction form
    1,748.09/2,620.65 = 773.66/x
  3. Step 3: Cross multiply
    1,748.09x = 2,620.65 × 773.66
  4. Step 4: Simplify right side
    1,748.09x = 2,027,501.53
  5. Step 5: Solve for x
    x = 2,027,501.53/1,748.09
  6. Step 6: Final answer
    x = 1,159.84

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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.