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Finding the Fourth Proportional to 1,165.16, 1,742.85 and 1,077.68

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Solution

The fourth proportional to 1,165.16, 1,742.85 and 1,077.68 is: 1,612.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165.16 : 1,742.85 = 1,077.68 : x
  2. Step 2: Convert to fraction form
    1,165.16/1,742.85 = 1,077.68/x
  3. Step 3: Cross multiply
    1,165.16x = 1,742.85 × 1,077.68
  4. Step 4: Simplify right side
    1,165.16x = 1,878,225.87
  5. Step 5: Solve for x
    x = 1,878,225.87/1,165.16
  6. Step 6: Final answer
    x = 1,612.00

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