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Finding the Fourth Proportional to 1,191.09, 1,643.73 and 718.99

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Solution

The fourth proportional to 1,191.09, 1,643.73 and 718.99 is: 992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.09 : 1,643.73 = 718.99 : x
  2. Step 2: Convert to fraction form
    1,191.09/1,643.73 = 718.99/x
  3. Step 3: Cross multiply
    1,191.09x = 1,643.73 × 718.99
  4. Step 4: Simplify right side
    1,191.09x = 1,181,825.43
  5. Step 5: Solve for x
    x = 1,181,825.43/1,191.09
  6. Step 6: Final answer
    x = 992.22

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Why These Related Problems?

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