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Finding the Fourth Proportional to 1,767.68, 2,650.67 and 656.74

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Solution

The fourth proportional to 1,767.68, 2,650.67 and 656.74 is: 984.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,767.68 : 2,650.67 = 656.74 : x
  2. Step 2: Convert to fraction form
    1,767.68/2,650.67 = 656.74/x
  3. Step 3: Cross multiply
    1,767.68x = 2,650.67 × 656.74
  4. Step 4: Simplify right side
    1,767.68x = 1,740,784.48
  5. Step 5: Solve for x
    x = 1,740,784.48/1,767.68
  6. Step 6: Final answer
    x = 984.79

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