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Finding the Fourth Proportional to 1,158.66, 1,733.85 and 1,006.38

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Solution

The fourth proportional to 1,158.66, 1,733.85 and 1,006.38 is: 1,505.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.66 : 1,733.85 = 1,006.38 : x
  2. Step 2: Convert to fraction form
    1,158.66/1,733.85 = 1,006.38/x
  3. Step 3: Cross multiply
    1,158.66x = 1,733.85 × 1,006.38
  4. Step 4: Simplify right side
    1,158.66x = 1,744,911.96
  5. Step 5: Solve for x
    x = 1,744,911.96/1,158.66
  6. Step 6: Final answer
    x = 1,505.97

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