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Finding the Fourth Proportional to 1,161.40, 1,728.56 and 1,157.80

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Solution

The fourth proportional to 1,161.40, 1,728.56 and 1,157.80 is: 1,723.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,161.40 : 1,728.56 = 1,157.80 : x
  2. Step 2: Convert to fraction form
    1,161.40/1,728.56 = 1,157.80/x
  3. Step 3: Cross multiply
    1,161.40x = 1,728.56 × 1,157.80
  4. Step 4: Simplify right side
    1,161.40x = 2,001,326.77
  5. Step 5: Solve for x
    x = 2,001,326.77/1,161.40
  6. Step 6: Final answer
    x = 1,723.20

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.