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Finding the Fourth Proportional to 1,146.09, 1,719.23 and 366.07

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Solution

The fourth proportional to 1,146.09, 1,719.23 and 366.07 is: 549.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.09 : 1,719.23 = 366.07 : x
  2. Step 2: Convert to fraction form
    1,146.09/1,719.23 = 366.07/x
  3. Step 3: Cross multiply
    1,146.09x = 1,719.23 × 366.07
  4. Step 4: Simplify right side
    1,146.09x = 629,358.53
  5. Step 5: Solve for x
    x = 629,358.53/1,146.09
  6. Step 6: Final answer
    x = 549.14

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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.