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Finding the Fourth Proportional to 1,160.72, 1,742.70 and 1,014.20

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Solution

The fourth proportional to 1,160.72, 1,742.70 and 1,014.20 is: 1,522.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.72 : 1,742.70 = 1,014.20 : x
  2. Step 2: Convert to fraction form
    1,160.72/1,742.70 = 1,014.20/x
  3. Step 3: Cross multiply
    1,160.72x = 1,742.70 × 1,014.20
  4. Step 4: Simplify right side
    1,160.72x = 1,767,446.34
  5. Step 5: Solve for x
    x = 1,767,446.34/1,160.72
  6. Step 6: Final answer
    x = 1,522.72

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