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Finding the Fourth Proportional to 1,291.79, 1,938.41 and 561.98

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Solution

The fourth proportional to 1,291.79, 1,938.41 and 561.98 is: 843.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,291.79 : 1,938.41 = 561.98 : x
  2. Step 2: Convert to fraction form
    1,291.79/1,938.41 = 561.98/x
  3. Step 3: Cross multiply
    1,291.79x = 1,938.41 × 561.98
  4. Step 4: Simplify right side
    1,291.79x = 1,089,335.15
  5. Step 5: Solve for x
    x = 1,089,335.15/1,291.79
  6. Step 6: Final answer
    x = 843.28

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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.