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Finding the Fourth Proportional to 1,094.21, 1,641.77 and 656.30

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Solution

The fourth proportional to 1,094.21, 1,641.77 and 656.30 is: 984.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,094.21 : 1,641.77 = 656.30 : x
  2. Step 2: Convert to fraction form
    1,094.21/1,641.77 = 656.30/x
  3. Step 3: Cross multiply
    1,094.21x = 1,641.77 × 656.30
  4. Step 4: Simplify right side
    1,094.21x = 1,077,496.94
  5. Step 5: Solve for x
    x = 1,077,496.94/1,094.21
  6. Step 6: Final answer
    x = 984.73

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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.