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Finding the Fourth Proportional to 1,191.97, 1,785.93 and 643.60

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Solution

The fourth proportional to 1,191.97, 1,785.93 and 643.60 is: 964.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.97 : 1,785.93 = 643.60 : x
  2. Step 2: Convert to fraction form
    1,191.97/1,785.93 = 643.60/x
  3. Step 3: Cross multiply
    1,191.97x = 1,785.93 × 643.60
  4. Step 4: Simplify right side
    1,191.97x = 1,149,424.55
  5. Step 5: Solve for x
    x = 1,149,424.55/1,191.97
  6. Step 6: Final answer
    x = 964.31

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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.