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Finding the Fourth Proportional to 1,206.74, 1,810.15 and 385.06

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Solution

The fourth proportional to 1,206.74, 1,810.15 and 385.06 is: 577.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,206.74 : 1,810.15 = 385.06 : x
  2. Step 2: Convert to fraction form
    1,206.74/1,810.15 = 385.06/x
  3. Step 3: Cross multiply
    1,206.74x = 1,810.15 × 385.06
  4. Step 4: Simplify right side
    1,206.74x = 697,016.36
  5. Step 5: Solve for x
    x = 697,016.36/1,206.74
  6. Step 6: Final answer
    x = 577.60

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