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Finding the Fourth Proportional to 1,765.06, 2,644.85 and 668.83

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Solution

The fourth proportional to 1,765.06, 2,644.85 and 668.83 is: 1,002.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,765.06 : 2,644.85 = 668.83 : x
  2. Step 2: Convert to fraction form
    1,765.06/2,644.85 = 668.83/x
  3. Step 3: Cross multiply
    1,765.06x = 2,644.85 × 668.83
  4. Step 4: Simplify right side
    1,765.06x = 1,768,955.03
  5. Step 5: Solve for x
    x = 1,768,955.03/1,765.06
  6. Step 6: Final answer
    x = 1,002.21

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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.