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Finding the Fourth Proportional to 1,138.86, 1,707.58 and 522.75

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Solution

The fourth proportional to 1,138.86, 1,707.58 and 522.75 is: 783.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138.86 : 1,707.58 = 522.75 : x
  2. Step 2: Convert to fraction form
    1,138.86/1,707.58 = 522.75/x
  3. Step 3: Cross multiply
    1,138.86x = 1,707.58 × 522.75
  4. Step 4: Simplify right side
    1,138.86x = 892,637.45
  5. Step 5: Solve for x
    x = 892,637.45/1,138.86
  6. Step 6: Final answer
    x = 783.80

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