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Finding the Fourth Proportional to 1,191.42, 1,643.72 and 719.46

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Solution

The fourth proportional to 1,191.42, 1,643.72 and 719.46 is: 992.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,191.42 : 1,643.72 = 719.46 : x
  2. Step 2: Convert to fraction form
    1,191.42/1,643.72 = 719.46/x
  3. Step 3: Cross multiply
    1,191.42x = 1,643.72 × 719.46
  4. Step 4: Simplify right side
    1,191.42x = 1,182,587.19
  5. Step 5: Solve for x
    x = 1,182,587.19/1,191.42
  6. Step 6: Final answer
    x = 992.59

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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.