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Finding the Fourth Proportional to 1,546.83, 2,319.97 and 766.59

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Solution

The fourth proportional to 1,546.83, 2,319.97 and 766.59 is: 1,149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,546.83 : 2,319.97 = 766.59 : x
  2. Step 2: Convert to fraction form
    1,546.83/2,319.97 = 766.59/x
  3. Step 3: Cross multiply
    1,546.83x = 2,319.97 × 766.59
  4. Step 4: Simplify right side
    1,546.83x = 1,778,465.80
  5. Step 5: Solve for x
    x = 1,778,465.80/1,546.83
  6. Step 6: Final answer
    x = 1,149.75

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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.