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Finding the Fourth Proportional to 1,170.98, 1,757.66 and 586.40

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Solution

The fourth proportional to 1,170.98, 1,757.66 and 586.40 is: 880.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.98 : 1,757.66 = 586.40 : x
  2. Step 2: Convert to fraction form
    1,170.98/1,757.66 = 586.40/x
  3. Step 3: Cross multiply
    1,170.98x = 1,757.66 × 586.40
  4. Step 4: Simplify right side
    1,170.98x = 1,030,688.89
  5. Step 5: Solve for x
    x = 1,030,688.89/1,170.98
  6. Step 6: Final answer
    x = 880.19

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