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Finding the Fourth Proportional to 1,146.14, 1,718.43 and 927.03

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Solution

The fourth proportional to 1,146.14, 1,718.43 and 927.03 is: 1,389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.14 : 1,718.43 = 927.03 : x
  2. Step 2: Convert to fraction form
    1,146.14/1,718.43 = 927.03/x
  3. Step 3: Cross multiply
    1,146.14x = 1,718.43 × 927.03
  4. Step 4: Simplify right side
    1,146.14x = 1,593,036.16
  5. Step 5: Solve for x
    x = 1,593,036.16/1,146.14
  6. Step 6: Final answer
    x = 1,389.92

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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.