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Finding the Fourth Proportional to 1,158.06, 1,596.56 and 1,000.10

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Solution

The fourth proportional to 1,158.06, 1,596.56 and 1,000.10 is: 1,378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,158.06 : 1,596.56 = 1,000.10 : x
  2. Step 2: Convert to fraction form
    1,158.06/1,596.56 = 1,000.10/x
  3. Step 3: Cross multiply
    1,158.06x = 1,596.56 × 1,000.10
  4. Step 4: Simplify right side
    1,158.06x = 1,596,719.66
  5. Step 5: Solve for x
    x = 1,596,719.66/1,158.06
  6. Step 6: Final answer
    x = 1,378.79

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