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Finding the Fourth Proportional to 1,355.43, 2,033.40 and 430.74

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Solution

The fourth proportional to 1,355.43, 2,033.40 and 430.74 is: 646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.43 : 2,033.40 = 430.74 : x
  2. Step 2: Convert to fraction form
    1,355.43/2,033.40 = 430.74/x
  3. Step 3: Cross multiply
    1,355.43x = 2,033.40 × 430.74
  4. Step 4: Simplify right side
    1,355.43x = 875,866.72
  5. Step 5: Solve for x
    x = 875,866.72/1,355.43
  6. Step 6: Final answer
    x = 646.19

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