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Finding the Fourth Proportional to 1,470.82, 2,206.21 and 497.61

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Solution

The fourth proportional to 1,470.82, 2,206.21 and 497.61 is: 746.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,470.82 : 2,206.21 = 497.61 : x
  2. Step 2: Convert to fraction form
    1,470.82/2,206.21 = 497.61/x
  3. Step 3: Cross multiply
    1,470.82x = 2,206.21 × 497.61
  4. Step 4: Simplify right side
    1,470.82x = 1,097,832.16
  5. Step 5: Solve for x
    x = 1,097,832.16/1,470.82
  6. Step 6: Final answer
    x = 746.41

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