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Finding the Fourth Proportional to 1,146.44, 1,719.81 and 366.17

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Solution

The fourth proportional to 1,146.44, 1,719.81 and 366.17 is: 549.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.44 : 1,719.81 = 366.17 : x
  2. Step 2: Convert to fraction form
    1,146.44/1,719.81 = 366.17/x
  3. Step 3: Cross multiply
    1,146.44x = 1,719.81 × 366.17
  4. Step 4: Simplify right side
    1,146.44x = 629,742.83
  5. Step 5: Solve for x
    x = 629,742.83/1,146.44
  6. Step 6: Final answer
    x = 549.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.