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Finding the Fourth Proportional to 1,570.07, 2,355.78 and 596.45

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Solution

The fourth proportional to 1,570.07, 2,355.78 and 596.45 is: 894.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,570.07 : 2,355.78 = 596.45 : x
  2. Step 2: Convert to fraction form
    1,570.07/2,355.78 = 596.45/x
  3. Step 3: Cross multiply
    1,570.07x = 2,355.78 × 596.45
  4. Step 4: Simplify right side
    1,570.07x = 1,405,104.98
  5. Step 5: Solve for x
    x = 1,405,104.98/1,570.07
  6. Step 6: Final answer
    x = 894.93

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