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Finding the Fourth Proportional to 1,216.71, 1,679.10 and 719.49

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Solution

The fourth proportional to 1,216.71, 1,679.10 and 719.49 is: 992.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,216.71 : 1,679.10 = 719.49 : x
  2. Step 2: Convert to fraction form
    1,216.71/1,679.10 = 719.49/x
  3. Step 3: Cross multiply
    1,216.71x = 1,679.10 × 719.49
  4. Step 4: Simplify right side
    1,216.71x = 1,208,095.66
  5. Step 5: Solve for x
    x = 1,208,095.66/1,216.71
  6. Step 6: Final answer
    x = 992.92

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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.