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Finding the Fourth Proportional to 1,191.53, 1,643.99 and 772.13

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Solution

The fourth proportional to 1,191.53, 1,643.99 and 772.13 is: 1,065.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.53 : 1,643.99 = 772.13 : x
  2. Step 2: Convert to fraction form
    1,191.53/1,643.99 = 772.13/x
  3. Step 3: Cross multiply
    1,191.53x = 1,643.99 × 772.13
  4. Step 4: Simplify right side
    1,191.53x = 1,269,374.25
  5. Step 5: Solve for x
    x = 1,269,374.25/1,191.53
  6. Step 6: Final answer
    x = 1,065.33

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.