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Finding the Fourth Proportional to 1,291.60, 1,936.80 and 560.80

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Solution

The fourth proportional to 1,291.60, 1,936.80 and 560.80 is: 840.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.60 : 1,936.80 = 560.80 : x
  2. Step 2: Convert to fraction form
    1,291.60/1,936.80 = 560.80/x
  3. Step 3: Cross multiply
    1,291.60x = 1,936.80 × 560.80
  4. Step 4: Simplify right side
    1,291.60x = 1,086,157.44
  5. Step 5: Solve for x
    x = 1,086,157.44/1,291.60
  6. Step 6: Final answer
    x = 840.94

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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.