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Finding the Fourth Proportional to 1,158.14, 1,729.64 and 927.38

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Solution

The fourth proportional to 1,158.14, 1,729.64 and 927.38 is: 1,385.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.14 : 1,729.64 = 927.38 : x
  2. Step 2: Convert to fraction form
    1,158.14/1,729.64 = 927.38/x
  3. Step 3: Cross multiply
    1,158.14x = 1,729.64 × 927.38
  4. Step 4: Simplify right side
    1,158.14x = 1,604,033.54
  5. Step 5: Solve for x
    x = 1,604,033.54/1,158.14
  6. Step 6: Final answer
    x = 1,385.01

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.