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Finding the Fourth Proportional to 1,444.16, 2,165.28 and 469.92

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Solution

The fourth proportional to 1,444.16, 2,165.28 and 469.92 is: 704.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.16 : 2,165.28 = 469.92 : x
  2. Step 2: Convert to fraction form
    1,444.16/2,165.28 = 469.92/x
  3. Step 3: Cross multiply
    1,444.16x = 2,165.28 × 469.92
  4. Step 4: Simplify right side
    1,444.16x = 1,017,508.38
  5. Step 5: Solve for x
    x = 1,017,508.38/1,444.16
  6. Step 6: Final answer
    x = 704.57

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