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Finding the Fourth Proportional to 1,190.61, 1,784.97 and 540.59

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Solution

The fourth proportional to 1,190.61, 1,784.97 and 540.59 is: 810.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,190.61 : 1,784.97 = 540.59 : x
  2. Step 2: Convert to fraction form
    1,190.61/1,784.97 = 540.59/x
  3. Step 3: Cross multiply
    1,190.61x = 1,784.97 × 540.59
  4. Step 4: Simplify right side
    1,190.61x = 964,928.01
  5. Step 5: Solve for x
    x = 964,928.01/1,190.61
  6. Step 6: Final answer
    x = 810.45

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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.