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Finding the Fourth Proportional to 1,191.51, 1,644.12 and 719.08

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Solution

The fourth proportional to 1,191.51, 1,644.12 and 719.08 is: 992.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.51 : 1,644.12 = 719.08 : x
  2. Step 2: Convert to fraction form
    1,191.51/1,644.12 = 719.08/x
  3. Step 3: Cross multiply
    1,191.51x = 1,644.12 × 719.08
  4. Step 4: Simplify right side
    1,191.51x = 1,182,249.70
  5. Step 5: Solve for x
    x = 1,182,249.70/1,191.51
  6. Step 6: Final answer
    x = 992.23

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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.