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Finding the Fourth Proportional to 1,602.02, 2,404.02 and 780.32

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Solution

The fourth proportional to 1,602.02, 2,404.02 and 780.32 is: 1,170.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,602.02 : 2,404.02 = 780.32 : x
  2. Step 2: Convert to fraction form
    1,602.02/2,404.02 = 780.32/x
  3. Step 3: Cross multiply
    1,602.02x = 2,404.02 × 780.32
  4. Step 4: Simplify right side
    1,602.02x = 1,875,904.89
  5. Step 5: Solve for x
    x = 1,875,904.89/1,602.02
  6. Step 6: Final answer
    x = 1,170.96

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