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Finding the Fourth Proportional to 1,095.57, 1,642.95 and 1,026.72

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Solution

The fourth proportional to 1,095.57, 1,642.95 and 1,026.72 is: 1,539.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,095.57 : 1,642.95 = 1,026.72 : x
  2. Step 2: Convert to fraction form
    1,095.57/1,642.95 = 1,026.72/x
  3. Step 3: Cross multiply
    1,095.57x = 1,642.95 × 1,026.72
  4. Step 4: Simplify right side
    1,095.57x = 1,686,849.62
  5. Step 5: Solve for x
    x = 1,686,849.62/1,095.57
  6. Step 6: Final answer
    x = 1,539.70

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